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Algebra of Vectors — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsAlgebra of Vectors1 Mark
Question
Find the direction cosines of the following vector:$6\hat{\text{i}}-2\hat{\text{j}}-3\hat{\text{k}}$
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Answer

We have, $6\hat{\text{i}}-2\hat{\text{j}}-3\hat{\text{k}}$
The direction cosines are $\frac{6}{\sqrt{6^2+(-2)^2+(-3)^2}},\frac{2}{\sqrt{6^2+(-2)^2+(-3)^2}},\frac{-3}{\sqrt{6^2+(-2)^2+(-3)^2}}$ or, $\frac{6}{7},\frac{-2}{7},\frac{-3}{7}$

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