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SVEN [57.7K]
3 years ago
14

Prove that the vectors A = 2i - 3j + k and B = i+ j+ k aremùtually perpendicular​

Physics
2 answers:
WARRIOR [948]3 years ago
8 0

Explanation:

A • B = (2i - 3j + k) • (i + j + k)

= (2)(1) + (- 3)(1) + (1)(1)

= 0 = AB cos θ

∴ cos θ = 0 (as A ≠ 0,B ≠ 0)

or θ = 90°

or the vectors A and B are mutually perpendicular.

<u>-TheUnknown</u><u>Scientist</u>

otez555 [7]3 years ago
7 0

Answer:

theta = 90°

Explanation:

hope it's helpful

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A 2 kg ball with an initial velocity of 10 m/s moves at an angle 60º above the +x-direction. The ball hits a vertical wall and b
kow [346]

Answer:

I = 20 i ^ N s

Explanation:

For this problem let's use the Impulse equation

       I = Δp = m v_{f}- v₀

The impulse and the velocity are vector quantities, let's calculate on each axis, let's decompose the velocity

     cos 60 = vₓ / v

     vₓ = v cos 60

     sin60 = v_{y} / v

     v_{y} = v sin60

     vₓ = 10 cos 60

     v_{y} = 10 sin60

    vₓ = 5.0 m / s

    v_{y} = 8.66 m / s

Let's calculate the impulse on each axis

X axis

     Iₓ = m v_{xf} - m vₓ₀

How the ball bounces

    v_{xf} = - vₓ₀ = vₓ

    Iₓ = 2 m vₓ

    Iₓ = 2 2 5

    Iₓ = 20 N s

Y axis

   I_{y} = m v_{yf} - m vyo

On the axis and the ball does not change direction so

   v_{yf} = vyo

  I_{y} = 0

The total momentum is

   I = Iₓ i ^ + I_{y} j ^

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7 0
3 years ago
A sloping surface separating air masses that differ in temperature and moisture content is called a _________.
svet-max [94.6K]

Answer:

A sloping surface separating air masses that differ in temperature and moisture content is called a front.

5 0
4 years ago
Cantaloupe provides the highest level of Vitamin A and when consumed is 10 calories. Which fruit combined with cantaloupe will o
astra-53 [7]
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Coil springs are widely used in industry. Those used in scientific instruments must be manufactured to exhibit consistent perfor
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Answer:

33627.4 N/m

Explanation:

By Hook's law F = k x

where F= force applied

K= Spring constant

x= distance it compresses.

Since the force applied in this case will be the weight of the object that causes it to compress, so, the weight will be (175 * 9.8) = 1715N force which causes a compression (x) of 0.0510m.

So,

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K = 33627N/m

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