Question

Find the component form of v given its magnitude and the angle it makes with the positive x -axis. Sketch v.

Magnitude                  Angle

Answer 1

Step 1 :

The vector is

Where is the magnitude and is the angle made with positive x-axis.

Step 2 :

Magnitude and the angle

Substitute and in v.

The vector is

Step 3 :

The graph of the vector 

Solution :

The vector is

The graph of the vector