Answer
$F=94i+34.2j.$
Work Step by Step
If a vector $v=ai+bj$ makes an angle of $\alpha$ with the positive x-axis and has magnitude $||v||=\sqrt{a^2+b^2}$, then $a=||v||cos\alpha$ and $v=||v||sin\alpha$.
Hence here $F_i=||v||cos\alpha=100cos20^\circ\approx94$, $F_i=||v||cos\alpha=100sin20^\circ\approx34.2.$ Therefore $F=94i+34.2j.$
