Question:medium

Two vectors are given by $\vec{A} = \hat{i} - 2\hat{j} + 3\hat{k}$ and $\vec{B} = 2\hat{i} - 4\hat{j} + 3\hat{k}$. The unit vector along $\vec{A} + \vec{B}$ is

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To find a unit vector, simply divide the vector by its own magnitude (length). $\hat{n} = \frac{\vec{V}}{|\vec{V}|}$.

Updated On: Mar 31, 2026

$3\hat{i} - 6\hat{j} + 6\hat{k}$ (Note: Option incomplete/incorrect in source, calculating correct value)
$\frac{\hat{i} - 2\hat{j} + 2\hat{k}}{3}$
$\frac{\hat{i} + 2\hat{j} + 2\hat{k}}{7}$
$\frac{3\hat{i} + 4\hat{j} + 5\hat{k}}{3}$

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The Correct Option is B

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