Question

A vector is 0.888 m long and points in a 205 degree direction.

Find the x-component of the vector.

Answer 1

-0.805 m

Step-by-step explanation:

The x-component of a vector is given by:

`v_x = v cos \theta`

where

v is the magnitude of the vector

`\theta` is the angle of the vector with respect to the positive x-direction

In this problem we have

v = 0.888 m

`\theta=205^(\circ)`

so we have

`v_x = (0.888 m)(cos 205^(\circ))=-0.805 m`