Question

A vector has component along the X-axis equal to 25 unit and along the Y-axis equal to 60 unit. Find the magnitude and the direction of vector.

Answer 1

$|R|=\sqrt{x^2+y^2}$

$=\sqrt{(25{)}^2+(60{)}^2}$

$=\sqrt{625+3600}$

$|R|=65$

The vectors are in first quadrant So

$\theta ={\tan }^{-1}\left(\frac{60}{25}\right)$

$\theta =68.87$ radians