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

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

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

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