Find the value of `x` for which `x\ ( hat i+ hat j+ hat k)` is a unit vector.

Explanation

Given that `x(hat(i) + hat(j) + hat(k))` is a unit vector, so `|xhat(i) + xhat(j) + xhat(k)|=1 implies sqrt(x^(2) + x^(2) +x^(2)) =1`
`implies sqrt(3x^(2)) = 1 implies pm sqrt(3)x =1 implies x = pm (1)/(sqrt(3))`
`therefore x = pm (1)/(sqrt(3))`