Question

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

Answer 1

It makes 37 degrees with X axis and
53 degrees with Y axis

Answer 2

|X+Y| = √ (x)^2 +(y)^2 +2xycos(theta).
100 = 64 + 36 +96cos(theta)
cos(theta) = 0
theta = π/2 i.e. 90°