Find out the angle made by `vecA= hati+hatj+hatk` vector from X, Y and Z axes respectively.

Explanation

Given `A_x= A_y= A_z=1` so `A= sqrt(A_x^(2) + A_y^(2) + A_z^(2))= sqrt(1+1+1) = sqrt3`
`cosalpha = (A_x)/(A) = (1)/(sqrt3) rArr alpha = cos ^(-1) (1)/(sqrt3) , cos beta = (A_y)/(A) = (1)/(sqrt3) rArr beta = cos^(-1)""(1)/(sqrt3), cosgamma= (A_z)/(A) = (1)/(sqrt3)rArr gamma = cos^(-1)"" (1)/(sqrt3)`