Question

A vector of magnitude 10 has its rectangular components as 8 and 6 along x and y axes. Find the angles it make with these axes.​

Answer 1

Answer:

The angles subtended by components with the axis;

$\tan(x) = \frac{6}{8}$

$\tan(x) = \frac{3}{4}$

$x = \tan^{ - 1} ( \frac{3}{4} )$

$\color{orange}x = 37°$

$\tan(y) = \frac{8}{6}$

$\tan(y) = \frac{4}{3}$

$y = \tan^{ - 1} ( \frac{4}{3} )$

$\color{orange}y= 53°$

HOPE THAT HELPS!!

Answer 2

hope it helps you.......