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

$\vector{A} = 8i + 6j$
$|A| = 10$
angle between A and x-axis ,
$Cos∅ = \frac{A.i}{|A|}$
$∅= arccos \frac{4}{5}$

Similarly,
angle between A and y - axis
$\beta =arccos \frac{3}{5}$