Question

Find the magnitude and direction angle

u = 3(cos 253°i + sin 253°j)

Answer 1

Explanation:

A vector can be written as a sum of its components:

u = uₓi + uᵧj

Or as a multiple of the unit vector pointing in the same direction:

u = |u| (cos θ i + sin θ j)

In this case, the magnitude of the vector is 3 and the direction is 253°.