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If $0.4\hat{i} + 0.7\hat{j} + c\hat{k}$ is a unit vector, then the value of c is
Explanation
$\sqrt{{(0.4)}^{2} + {(0.7)}^{2} + c^{2}} = 1$ $c^{2} = 1 - (0.16 + 0.49) \Rightarrow c^{2} = 1 - 0.65 = 0.35 \Rightarrow c = \sqrt{0.35}$