v2040 Find the direction of the vector Answer is 2966 square

v={20,-40}

Find the direction of the vector??

Answer is 296.6

Solution

theta=tan^-1(y/x)

Here y=-40 , x=20

y is negative and x is positive. Therefore theta lies in fourth quadrant .

Theta=tan^-1(-40/2)=tan^-1(-2) = 296.6degree