If D=-5i +6j -3k and E= 7i +8j + 4k
Find D × E and show that D is perpendicular to E

Answers

Answer 1

To find the cross product of vectors D and E, we can use the formula:

D × E = (Dy * Ez - Dz * Ey)i - (Dx * Ez - Dz * Ex)j + (Dx * Ey - Dy * Ex)k

Given:

D = -5i + 6j - 3k

E = 7i + 8j + 4k

Calculating the cross product:

D × E = ((6 * 4) - (-3 * 8))i - ((-5 * 4) - (-3 * 7))j + ((-5 * 8) - (6 * 7))k

     = (24 + 24)i - (-20 - 21)j + (-40 - 42)k

     = 48i + 41j - 82k

To show that D is perpendicular to E, we need to demonstrate that their dot product is zero. The dot product is given by:

D · E = Dx * Ex + Dy * Ey + Dz * Ez

Calculating the dot product:

D · E = (-5 * 7) + (6 * 8) + (-3 * 4)

     = -35 + 48 - 12

     = 1

Since the dot product of D and E is not zero, it indicates that D and E are not perpendicular to each other. Therefore, D is not perpendicular to E.

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Related Questions

a satellite coasting at constant speed in a circular orbit

Answers

A satellite coasting at constant speed in a circular orbit is nevertheless accelerating.

A satellite (or any mass, manufactured or natural, orbiting around another object) can do that at a constant speed by coasting around the planet. The moon or the International Space Station, a research facility 400 km above the earth's surface, are two examples of such satellites.

A satellite orbiting the Earth accelerates in a direction that is perpendicular to its center of gravity. An accelerated circular orbit around the planet is taken by a satellite. Velocity affects acceleration. There is magnitude and direction to velocity. Although the satellite is traveling at a constant pace, its direction of travel is shifting. As a result, velocity alters. The motion has accelerated if the velocity is changing.

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Complete question:

When a satellite coasts in a circular orbit at a constant speed about Earth, is it accelerating? If so, in what direction? If not, why not

where n0 1350 cm2 /v-s, vsat 1.8 107 cm/s, and e is given in v/cm. plot electron drift current density (magnitude) versus electric fi eld (log–log scale) over the range 0 e 106 v/cm

Answers

In physics, a wave is a disturbance that propagates through space and time, usually accompanied by the transfer of energy. Waves can take many forms, including sound waves, light waves, and water waves.

They can be described by several properties, including amplitude, wavelength, frequency, and speed.

Amplitude refers to the maximum displacement of the wave from its equilibrium position. Wavelength is the distance between two consecutive points on a wave that are in phase.

Frequency is the number of waves that pass a given point in a unit of time, usually measured in hertz (Hz). Speed is the rate at which a wave travels through space, usually measured in meters per second (m/s).

Different types of waves behave differently in different situations. For example, sound waves can be absorbed or reflected by different surfaces, while light waves can be refracted or diffracted by different media.

Waves can also undergo interference, where two or more waves interact and produce a new wave with a different amplitude, wavelength, or frequency.

Understanding waves is important in many fields, including physics, engineering, and telecommunications. It allows us to predict and control the behavior of waves in different systems, leading to new technologies and applications.

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much like a battery these generate electricity from chemical events

Answers

The term you are looking for is "chemical battery". Chemical batteries work by converting chemical energy into electrical energy through a series of chemical reactions. These reactions take place within the battery's cells, which are composed of two electrodes and an electrolyte.

When the battery is connected to a circuit, the chemical reactions produce an electrical current that can be used to power devices. Chemical batteries are widely used in many applications, including consumer electronics, electric vehicles, and renewable energy systems. They are a crucial component of our modern technological society, and ongoing research is focused on developing more efficient and sustainable battery technologies to meet growing energy demands.

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What is converted into chemical energy during photosynthesis?

Answers

Answer:

Light energy

Explanation:

This happens by means of chlorophyll combining with the carbon, from carbon dioxide, and the hydrogen and oxygen, from water, to form carbohydrates

it will be light energy. and hope you have a good day

A baseball player dives head-first into
second base and slows down while sliding on the infield dirt.
Of the forces listed, identify which act upon the player.

1.Normal
2.Gravity
3.Applied
4.Friction
5.Tension
6. Air Resistance

Answers

Answer:

Explanation:

Discussion

The ones that are certain are

Normal GravityFriction

If you have a normal, and the player slides into 2nd, and stops (which he must before he is tagged), then there must be friction involved. There must be gravity, or he would keep going up.

I don't think there is tension. There might be some Air Resistance, but that force is very tiny. Don't be surprised if you answer includes Air Resistance, but I won't try it to begin with.

a volleyball player has spiked the ball. At the instant the ball leaves her hand, it is 2.6 m above the ground and has an initial vertical velocity of -20 m/s. How long will it take the ball to strike the ground if the opposing team doesn't block it?

Answers

Answer: 29.48 s

Explanation:

Given

The initial height of the ball is \(h=2.6\ m\)

The ball leaves with an initial velocity of \(u=-20\ m/s\)

Using the equation of motion

\(h=ut+\dfrac{1}{2}at^2\\\text{Insert the values}\\\\2.6=20\cdot t+\dfrac{1}{2}\times 9.8\times t^2\\\\\Rightarrow 9.8t^2+20t-5.2\\\\\Rightarrow t=\dfrac{-20\pm \sqrt{20^2-4\times 9.8\times (-5.2)}}{2\times 9.8}\\\\\Rightarrow t=\dfrac{-20\pm 603.84}{19.8}\\\\\Rightarrow t=29.48\ s\quad [\text{Neglecting negative t}]\)

Therefore, it take 29.48 s for ball to reach the ground.

Can some one help me pls :")

Can some one help me pls :")

Answers

I believe it’s all of the questions
All of the choices are correct

differentiate can you help me plzzzzzzz​

differentiate can you help me plzzzzzzz

Answers

Explanation:

Acceleration and the other term are the same physical phenomenon - just with opposite affects. Acceleration increases velocity, while the other term that begins with the letter "R" reduces.

***(Brainly's language filter is blocking the use of the second term in my answer.)***

Acceleration is defined as the rate of change of the velocity of an object per unit of time...

\(a = \frac{dv}{dt}\)

Acceleration would be a POSITIVE (+) quantity, while the r-word would be negative (-).

What is the difference in degrees
Celsius between the hottest stars and the
coolest stars?

Answers

The hottest starts have high temperatures of 40,000 Kelvins or over, and the coolest starts hav temperatures of about 2000 Kelvins.

hope this helps :)

You want to see how often your blog is read, so you record each time
someone clicks the link. Which graph would show how many times your
blog's link is clicked every hour?

Answers

This suggests the percentage of those who come lower back on your blog each and every week after their first visit.

As an example, if this week you had one hundred human beings go to your blog and inside the week one column, it suggests seventeen percent. which means of the initial a hundred human beings, seventeen got here returned. underneath week two in case you see eight percent, that means of the preliminary a hundred human beings, eight humans came lower back in two weeks.

This quantity will keep getting smaller, but the goal is to get humans back as often as viable. That increases belief, social shares, and the capability of people to link to you, and it even will increase the odds that the vacationer will convert right into a customer. The Pageviews column tells you ways generally each individual blog published was regarded in the decided on time-frame. The specific Pageviews column simply to the right of it tells you ways a lot of those pageviews were from precise visitors

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A mild steel ring is wound with 300 turns, when the current through the coil is reduced from 9 to 6 A, then the flux decreases from 950 to 910 µWb.
Calculate the effective self-induction of the coil over this range of current variation

Answers

The effective self-inductance of the coil over the range of current variation is approximately 2.83 mH (millihenries). Self-inductance measures the ability of a coil to generate an electromotive force in response to a changing current, and it is an important parameter in electrical and electronic systems.

To calculate the effective self-inductance of the coil, we can use Faraday's law of electromagnetic induction, which states that the induced electromotive force (emf) in a coil is proportional to the rate of change of magnetic flux through the coil.

The formula for self-inductance (L) is given by:

L = NΦ / I

Where:

L is the self-inductance of the coil

N is the number of turns in the coil

Φ is the magnetic flux through the coil

I is the current through the coil

Given:

Number of turns (N) = 300

Initial current (I1) = 9 A

Final current (I2) = 6 A

Initial flux (Φ1) = 950 µWb

Final flux (Φ2) = 910 µWb

To calculate the effective self-inductance, we need to find the change in flux (ΔΦ) and the change in current (ΔI) over the given range.

Change in flux:

ΔΦ = Φ2 - Φ1

= 910 µWb - 950 µWb

= -40 µWb

Change in current:

ΔI = I2 - I1

= 6 A - 9 A

= -3 A

Now, we can calculate the effective self-inductance:

L = N * ΔΦ / ΔI

Converting the values to the SI unit system:

ΔΦ = -40 µWb

= -40 × 10^(-6) Wb

ΔI = -3 A

L = 300 * (-40 × 10^(-6) Wb) / (-3 A)

L ≈ 2.83 × 10^(-3) H

≈ 2.83 mH (millihenries)

The effective self-inductance of the coil over the range of current variation is approximately 2.83 mH. This value is obtained by applying Faraday's law of electromagnetic induction and calculating the change in flux and change in current. Self-inductance measures the ability of a coil to generate an electromotive force in response to a changing current, and it is an important parameter in electrical and electronic systems.

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find the standard form of the equation of the parabola with a focus at

Answers

Given, focus at (-2,3) and the directrix y=1 We know that the standard form of the equation of the parabola is given by : (y-k)²=4a(x-h),where (h,k) is the vertex, 'a' is the distance between vertex and focus and the line perpendicular to directrix passing through vertex is the axis of symmetry.

Here, the vertex is midway between the focus and directrix. So the vertex will be V = (-2,2).The distance between the vertex and focus is 1 unit, so the value of 'a' will be 1.The axis of symmetry will be a horizontal line passing through the vertex. Therefore, the equation of the axis of symmetry is y = 2.Now, using the vertex and 'a' value, the equation of the parabola is(y - 2)² = 4(x + 2)We can expand the above equation to get the standard form of the equation of the parabola, which isy² - 4y + 4 = 4x + 8Therefore, the standard form of the equation of the parabola with focus (-2,3) and directrix y = 1 isy² - 4y = 4x + 4. The standard form of the equation of the parabola with focus (-2,3) and directrix y = 1 is y² - 4y = 4x + 4. To find the standard form of the equation of a parabola with a focus at (-2,3) and a directrix y=1, we need to first know the definition of parabola, focus, and directrix of a parabola.A parabola is a set of all points in a plane which are equidistant from a given point F, called focus, and a given line d, called directrix. The vertex of the parabola is the midpoint of the line segment connecting the focus and the directrix.The standard form of the equation of a parabola is y² = 4ax or (x-h)² = 4a(y-k), depending on whether the parabola is horizontal or vertical respectively. Here, we have a horizontal parabola and so we use the first form of the equation.To find the equation of the parabola, we first find the vertex of the parabola. The vertex is the midpoint of the line segment connecting the focus and the directrix, which is V = (-2,2). The distance between the vertex and the focus is given by the formula a=1/4(y1-y2)² = 1/4(3-1)² = 1.The axis of symmetry is the line passing through the vertex and perpendicular to the directrix. Since the directrix is a horizontal line, the axis of symmetry is a vertical line passing through the vertex. Therefore, the equation of the axis of symmetry is y=2.Using the vertex and the value of a, we can write the equation of the parabola as (y-2)²=4(x+2). To find the standard form of the equation, we can expand the equation to get y² - 4y + 4 = 4x + 8, which can be written as y² - 4y = 4x + 4. Therefore, the standard form of the equation of the parabola with focus (-2,3) and directrix y=1 is y² - 4y = 4x + 4.

The standard form of the equation of the parabola with a focus at (-2,3) and directrix y=1 is y² - 4y = 4x + 4.

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what factor affects a solutes solubility rather than its rate of solution

Answers

Answer:

temperature

Explanation:

Answer: Nature of the solvent

Explanation:

i took the test aswell

A 10 kg wagon is accelerated by a constant force of 60 N from an initial velocity of 5.0 m/s to a final velocity of 11 m/s. What is the impulse received by the wagon? a)15 N s b)60 N s c)17 N s d)70 N s

Answers

The answer is 274774

LITERALLY HELP IMBEGGING YOU GUYS ANYONE IM NEEED HELP

LITERALLY HELP IMBEGGING YOU GUYS ANYONE IM NEEED HELP

Answers

Explanation:

The energy of a photon is given by :

\(E=\dfrac{hc}{\lambda}\)

Where

h is Planck's constant

c is the speed of light

\(\lambda\) is wavelength

or

\(E=hf\), f is the frequency

Energy is directly proportional to the frequency of an object.

The energy transported by a wave is directly proportional to the square of the amplitude.

Is pushing a car across a smooth road positive, negative or zero work?

Answers

When you push a car, it will start moving at some speed (it has velocity). The car goes from zero energy to some amount of positive kinetic energy

What are 2 benefits from vitamin b and 2 food sources?

Answers

2 benefits are, it has a direct impact on your energy level and helps maintain good health. 2 food sources are avocados and leafy greens.

Explain whether a red apple is opaque or transparent and why it appears red.

Answers

Answer:

An opaque object is an object through which the light rays can not be passed and we can not see from that object while transparent object allows the passage of light. Hence red apple is unable to pass light, so it is a opaque object. Hence red apple looks red because it absorbs all color except red.

Answer:

An opaque object is an object through which the light rays can not be passed and we can not see from that object while transparent object allows the passage of light.

Hence red apple is unable to pass light, so it is a opaque object. ... Hence red apple looks red because it absorbs all color except red.

Explanation:

i hope it's help◉‿◉

ch 7 #22
A ball of mass 0.440 kg moving cast (+.y direction) with a speed of 3.30 m/s collides head-on with a 0.220-kg ball at rest. If the collision is perfectly elastic, what will be the speed and direction of each ball after the collision?

Answers

After the perfectly elastic collision, the 0.440-kg ball will move at 1.10 m/s in the negative y-direction, while the 0.220-kg ball will move at 6.60 m/s in the positive y-direction.

In a perfectly elastic collision, the total kinetic energy of the system is conserved. This means that the sum of the kinetic energies of the two balls before the collision is equal to the sum of the kinetic energies of the two balls after the collision. Since one of the balls is at rest before the collision, its kinetic energy is zero, so the total kinetic energy of the system before the collision is just the kinetic energy of the 0.440-kg ball:

K1 = (1/2)mv1^2 = (1/2)(0.440 kg)(3.30 m/s)^2 = 2.8762 J

After the collision, the two balls move apart with new velocities v1' and v2', respectively. Since momentum is also conserved in an elastic collision, we can write two equations:

m1v1 + m2v2 = m1v1' + m2v2'

m1v1^2 + m2v2^2 = m1v1'^2 + m2v2'^2

Solving these equations for v1' and v2', we find:

v1' = (m1 - m2)/(m1 + m2) v1

v2' = 2m1/(m1 + m2) v1

Plugging in the given values and solving, we find:

v1' = -1.10 m/s

v2' = 6.60 m/s

So the 0.440-kg ball moves at 1.10 m/s in the negative y-direction, while the 0.220-kg ball moves at 6.60 m/s in the positive y-direction.

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S
6
Electric Pencil
Sharpener:
Moving electrons cause the
blades to spin.
Game Controller:
The gamer manually
manipulates the joystick and
the movements are translated
into electrical impulses that
travel to the gaming system
through the wires.
→>

Answers

An electric pencil sharpener is a small motorized appliance for sharpening or refreshing the points on lead pencils.

An electric pencil sharpener is a small motorized equipment for polishing or fresh the factors on lead pencils. Within the hollow, a small electric powered motor turns a blade meeting at high velocity. The blades shave wooden and lead from the pencil's cease, bringing it to some extent.

The old-fashioned pencil sharpeners which are established to the wall and cranked through a manage are an instance of a compound system that is composed  simple machines: the wheel and axle and a wedge.

You could sharpen colored pencils in an electric sharpener, however make certain to be very mild with your pencils and often easy your sharpener to put off any wax increase. If performed improperly, sharpening your colored pencils in an electric sharpener can harm each your pencils and your sharpener.

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The orbital motion of a deep water wave extends to a depth equal to.

Answers

1/2 the wavelength.......

What was your hypothesis? According to your data, do you think your hypothesis was correct? (Be sure to refer to your data and graph in answering this question.)
Summarize any difficulties or problems you had in performing this experiment that might have affected the results. Describe how you might change the procedure to avoid these problems.
Explain how a graphical analysis can be used to explore the relationship between any two scientific variables.

Answers

Answer:

Present Your Findings Write a summary paragraph discussing this experiment and the results. Use the following questions and topics to help guide the content ...

In what direction is your friend from the starting point after skiing 2.00 km east and then 1.10 km north?

Answers

The direction of your friend after skiing 2 Km east and then 1.10 km north is 2.28 Km North east

Data obtained from the question

From the question given above, the following data were obtained:

Displacement 1 = 2 Km eastDisplacement 2 = 1.1 Km northResultant displacement (R) =?

How to determine the resultant displacement

See attached photo for diagram.

The resultant displacement can be obtained as illustrated below:

R = √[(Displacement 1)² + (Displacement 2)²]

R = √[2² + 1.1²]

R = √[4 + 1.21]

R = √5.21

Resultant displacement = 2.28 Km North east

Thus, the direction of your is 2.28 Km North east

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In what direction is your friend from the starting point after skiing 2.00 km east and then 1.10 km north?

A bullet leaves a rifle with a muzzle velocity of 521 m/s. While accelerating through the barrel of the rifle, the bullet moves a distend of 0.840 m. Determine the acceleration of the bullet (assume a uniform acceleration)

Answers

The answer is 1.62 x 10/5 m/s

If the voltage of a circuit is 6V, and the power is 4W, what is its resistance?

Answers

Answer:

9 ohms

Explanation:

P = V²/R

R = v²/p = 6²/4 = 36/4 = 9 ohms.

The resistance is 9 Ohm.

To find the resistance, we need to know about the power in term of resistance and voltage.

What is the value of power in terms of resistance and voltage?We know that power=work/timeElectrostatics work is given as voltage ×charge. So, power=(Voltage×charge)/timeAgain, charge/time is given as current. So, power = Voltage×currentFrom Ohm's law, we know that current=voltage/resistance. So, power= voltage ²/resistance. What is the resistance, if power is 4W and voltage is 6V?Resistance in term of power and voltage is given as Resistance= voltage ²/powerSo, resistance=6²/4=36/4= 9 Ohm

Thus, we can conclude that the resistance is 9 Ohm.

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A jogger runs 6.0 km [E], then 4.0 km [N], and finally 2.0 km [W]. The entire trip takes 2.0 h to complete. Calculate the jogger's
(a) average speed
(b) average velocity

Answers

(a) The trip covers a total distance of 6.0 + 4.0 + 2.0 = 12.0 km, so the jogger's average speed is (12.0 km)/(2.0 h) = 6.0 km/h.

(b) The jogger undergoes a total displacement given by the vector

(6.0 km) i + (4.0 km) j + (-2.0 km) i = (4.0 km) (i + j)

where i is the unit vector pointing due East and j is the unit vector pointing due North. This vector has magnitude

||(4.0 km) (i + j)|| = (4.0 km) √(1² + 1²) ≈ 5.7 km

so the jogger's average velocity is approximately (5.7 km)/(2.0 h) ≈ 2.8 km/h.

In a river 500m wide, water flows at 8-0 kmh? A boat, pointing directly across the river, Takes 6.0 minutes to cross the river. a. How far is the boat carried downstream as it crosses ?​

Answers

The speed of the water current will carry the boat to travel in a diagonal path across the river in 6.0 minutes or 0.1 hours. The distance of the diagonal path is the resultant displacement.

Using Pythagoras' theorem, the components of this resultant velocity are the velocity of the boat and the velocity of the water. Before this can be solved, the displacements must be first calculated.

Solving for the resultant displacement

Resultant^2 = (displacement caused by water)^2 + (0.5 km)^2

Resultant^2 = (8 km/h * 0.1 h)^2 + (0.5 km)^2

Resultant^2 = (0.8 km)^2 + (0.5 km)^2

Resultant^2 = 0.89 km^2

Resultant = 0.9434 km

Solving for the velocity of the boat relative to the water's surface

Velocity = resultant displacement / elapsed time

Velocity = 0.9434 km / 0.1 h

Velocity = 9.43 km/ h

Solving for the speed of the boat relative to the water's surface

Speed = width of river / elapsed time

Speed = 0.5 km / 0.1 h

Therefore the answer is 5 km / h.

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A cart moving at a constant speed of 25 m/s possesses 438 J of kinetic energy what is the mass?

Answers

A cart moving at a constant speed of 25 m/s possesses 438 J of kinetic energy, and the mass of the car is 1.6 kg.

What is kinetic energy?

The energy an object has as a result of motion is known as kinetic energy. A force must be applied to an object to accelerate it. We must put in the effort to apply force. After the work is finished, energy is transferred to the item, which then moves at a new, constant speed.

What does "constant speed" refer to?

Definition: When an object is moving at a constant speed—that is, its speed does not change—we say it is moving at a constant speed. steady rate

Given:

KE = 500 J

v = 25 m/s

The formula for Kinetic Energy is given:

KE = ½ mv²

where: KE - Kinetic Energy

m - mass

v - velocity

Substituting the value of KE and v in the formula,

500 J = (½)(m)(25 m/s)²

m = (500 J)(2)/(25 m/s)²

m = 1.6 kg

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Two coins lie 1.5 meters apart on a table. They carry identical electric charges. Approximately how
large is the charge on each coin if each coin experiences a force of 2.0 N

Answers

I don’t have any of the problem I can get it to my computer for my work

The charge on each coin is equal to \(2.50 \times 10^{-10}\;Coulomb\)

Given the following data:

Force = 2.0 NewtonRadius = 1.5 meters

To determine the charge on each coin, we would apply the law of electrostatic forces:

Mathematically, the law of electrostatic forces is given by the formula:

\(F = \frac{kq_1q_2}{r^2}\)

Note: \(q_1 = q_2\) (since the coin carry identical electric charges).

Therefore, the formula becomes:

\(F = \frac{k(2q)}{r^2}\)

Making q the subject of formula, we have:

\(q=\frac{Fr^2}{2k}\)

Substituting the given parameters into the formula, we have;

\(q=\frac{2 \times 1.5^2}{2 \times 8.99 \times 10^9}\\\\q=\frac{2 \times 2.25}{2 \times 8.99 \times 10^9}\\\\q=\frac{4.5}{17.98 \times 10^9}\\\\q=2.50 \times 10^{-10}\;Coulomb\)

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Why is Pizza so good?

Answers

I honestly don’t know-

Answer:

its the cheese

Explanation:

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