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kow [346]
3 years ago
11

Determine the angles made by the vector V = - 36i + 15j with the positive x- and y-axes. Write the unit vector n in the directio

n of V.
Engineering
1 answer:
Nata [24]3 years ago
4 0

Answer:

  157.38° CCW from +x axis

  67.38° CCW from +y axis

  n = (12/13)i +(5/13)j

Explanation:

The reference angle is ...

  arctan(15/36) ≈ 22.62° . . . . CW from the -x axis

The signs of the component vectors indicate this is a 2nd-quadrant vector, so the angles of interest are ...

  157.38° CCW from +x axis

  67.38° CCW from +y axis

The unit vector will be ...

  n = cos(157.38°)i +sin(157.38°)j

 n = (12/13)i +(5/13)j

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