Mathematics Vector Algebra Magnitude and Directions of a Vector

Determine the value of p for which  \(p(\hat{i}+\hat{j}+\hat{k})\) is a unit vector?

1
\(\pm\frac{1}{{\sqrt 3 }}\)
2
\(\pm\frac{2}{{\sqrt 3 }}\)
3
\(\pm\frac{1}{{ 3 }}\)
4
\({{\sqrt 3 }}\)

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