Avector is 10 units long and points at 30° with respect to the x-axis. how many units does it point in the x direction?

|A| = magnitude of the vector = 10 units

θ = angle of the vector relative to positive x-axis = 30 degree

A' = component of vector parallel to x-axis

Since the angle is made with the x-axis, hence the x-component of the vector is given as

A' = |A| Cosθ

A' = (10) Cos30

A' = (10) (0.866)

A' = 8.66 units