lost on this problem and dont know what to do

Question

Find the magnitude and direction (in degrees) of the vector. (Assume 0° ≤ θ < 360°. Round the direction to two decimal places.)

v =  −16, 30

|v|	=
θ	=

 

Answer 1

Step 1:

The vector is .

Find the magnitude.

Magnitude of the vector is .

Substitute in the magnitude formula.

Magnitude of the vector is

Step 2:

Find the direction in degrees.

Direction of the vector is .

Substitute in the direction formula.

Fundamental identity of trigonometric function: .

Direction of the vector is

Solution:

Magnitude of the vector is

Direction of the vector is