Find values of x for which $straight x space open parentheses straight i with hat on top space plus space straight j with hat on top space plus space straight k with hat on top close parentheses$ is a unit vector.

Let $straight a with rightwards arrow on top space equals space straight x space left parenthesis straight i with hat on top space plus space straight j with hat on top space plus space straight k with hat on top right parenthesis space equals space straight x space straight i with hat on top space plus space straight x space straight j with hat on top space plus space straight x space straight k with hat on top$
Since $straight a with rightwards arrow on top$ is a unit vector
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Find values of x for which is a unit vector.

Vector Algebra

Mathematics Part II

Find values of x for which $straight x space open parentheses straight i with hat on top space plus space straight j with hat on top space plus space straight k with hat on top close parentheses$ is a unit vector.