Find out unit vector of vector `vec(A) = 3 hat(i) - 2 hat(j) + 4 hat(k)`

Explanation

Given : `vec(A) = 3 hat(i) - 2 hat(j) + 4 hat(k)`
Unit vector along `vec(A) = A_(x) hat(i) + A_(y) hat(j) + A_(z) hat(k)`
`A_(x) = 3, A_(y) =- 2, and A_(z) = 2 `
`A = sqrt(A_(x)^(2) + A_(y)^(2) + A_(z)^(2))`
`= sqrt((3)^(2) + (-2)^(2) +(4)^(2)) = sqrt(29)`
`:. hat(a) = (vec(A))/(A) = (3 hat(i) - 2 hat(j) + 4 hat(k))/(sqrt(29))`