Find the direction angle of vector v to the nearest tenth of the degree.

Question

V=(7,2)-(-5,0) v=((7-(-5)),(2-0)) v=((7+5),2) v=(12,2)

Answer 1

To find the direction angle of vector v, we need to calculate the arctangent of the y-component divided by the x-component.

Direction angle = arctan(2/12) ≈ arctan(0.167) ≈ 9.6 degrees

Therefore, the direction angle of vector v to the nearest tenth of a degree is approximately 9.6 degrees.