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प्रश्न
Find the direction cosines of the following vectors:
\[6 \hat{i} - 2 \hat{j} - 3 \hat{k}\]
उत्तर
We have,
\[6 \hat{i} - 2 \hat{j} - 3 \hat{k}\]
The direction cosines are \[\frac{6}{\sqrt{6^2 + \left( - 2 \right)^2 + \left( - 3 \right)^2}} , \frac{- 2}{\sqrt{6^2 + \left( - 2 \right)^2 + \left( - 3 \right)^2}} , \frac{- 3}{\sqrt{6^2 + \left( - 2 \right)^2 + \left( - 3 \right)^2}}\] or,
\[\frac{6}{7}, \frac{- 2}{7}, \frac{- 3}{7}\]
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