Question

find the magnitude and direction angle of the vector v.

v = 6i - 6j

Answer 1

Step 1:

The vector is

The standard form of the vector is

Magnitude of the vector .

Magnitude of the vector .

Magnitude is .

Step 2:

The vector is

Direction angle is .

Where .

The vector is lies in IV quadrant, lies in IV quadrant.

The reference angle

Direction angle is .

Solution :

Magnitude is .

Direction angle is .