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VECTOR ALGEBRA — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsVECTOR ALGEBRA1 Mark
Question
If $\vec{\text{a}}=\hat{\text{i}}+2\hat{\text{j}}-\hat{\text{k}}\text{ and }\vec{\text{b}}=3\hat{\text{i}}+\hat{\text{j}}-5\hat{\text{k}}$ find a unit vector in the direction of $\vec{\text{a}}-\vec{\text{b}}$.
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Answer

$\vec{\text{a}}-\vec{\text{b}}=-2\hat{\text{i}}+\hat{\text{j}}+4\hat{\text{k}}$
Unit vector in the direction of $(\vec{\text{a}}-\vec{\text{b}})$ $=\frac{1}{\sqrt{21}}[-2\hat{\text{i}}+\hat{\text{j}}+4\hat{\text{k}}]$.

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