Question

Write the vector v in the form ai + bj, given its magnitude ||v|| and the angle α it makes with the positive x-axis.

||v|| = 5,      α = 60^o

Answer 1

Step 1:

Magnitude of the vector is .

Direction angle is .

A vector v from its magnitude and direction is .

Substitute and in above vector.

The vector is .

Solution :

The vector is .