Answer
$F=94 i+34.2 j $
Work Step by Step
We know that the magnitude of horizontal component of force is given by:
$F=||v||cos\alpha$
where $||v||$ is the magnitude of the force and $\alpha$ is the direction angle.
Similarly, the magnitude of vertical component of force is given by:
$F=||v||sin\alpha$
Thus, we have: $F_i=||v|| \cos\alpha=(100) \cos 20^\circ=94$, and
$F_j=||v|| \sin \alpha=100 \sin 20^\circ=34.2$
Therefore, the components of the force vector are: $F=94 i+34.2 j $
