Question

TRIGONOMETRY ( adding vectors algebraically) Find the direction of the resultant vector

Answer 1

First, we add the vectors:

$(14,7)+(-9,-2)=(14-9,7-2)=(5,5)$

Then, the direction of the resultant vector is given by:

$\tan ^{-1}\frac{5}{5}=\tan ^{-1}1=45\degree$