Find the component form of v given its magnitude and the angle

Question

Find the component form of v given its magnitude and the angle it makes with the positive x-axis.
Magnitude=9
Angle= v in the direction i+7j
v=?

Answer 1

The coefficient of v's i component is the x direction.  The coefficient of the v's j component is the y direction.

 

Take the inverse tangent of coefficient of  j / coefficient of  i.

 

θ = tan^-1(7 / 1)

 

θ = 81.87 degrees

 

 

v_x =9cos(81.87)

v_y = 9sin(81.87)