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Vector Algebra — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSVector Algebra1 Mark
Question
Find the unit vector in the direction of $2 \hat{i}+2 \hat{j}+\hat{k}$.
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Answer

$
\begin{aligned}
\text { Unit vector } & =\frac{\text { Vector }}{\mid \text { Vector } \mid} \\
& =\frac{2 \hat{i}+2 \hat{j}+\hat{k}}{\sqrt{(2)^2+(2)^2+(1)^2}} \\
& =\frac{1}{3}(2 \hat{i}+2 \hat{j}+\hat{k})
\end{aligned}
$

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