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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:

$2\hat{\text{i}}+2\hat{\text{j}}-\hat{\text{k}}$

 

 

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Answer

We have, $2\hat{\text{i}}+2\hat{\text{j}}-\hat{\text{k}}$

The direction cosines are $\frac{2}{\sqrt{2^2+2^2+(-1)^2}},\frac{2}{\sqrt{2^2+2^2+(-1)^2}},\frac{1}{\sqrt{2^2+2^2+(-1)^2}}$ or, $\frac{2}{3},\frac{2}{3},\frac{-1}{3}$

 

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