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Vector Algebra

Question

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If a line has direction ratios 2,-1,-2 then what are its direction cosines?

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Solution

The direction cosines are

$\frac{2}{\sqrt{2^{2} + (- 1)^{2} + (- 2)^{2}}}, \frac{- 1}{\sqrt{2^{2} + (- 1)^{2} + (- 2)^{2}}}, \frac{- 2}{\sqrt{2^{2} + (- 1)^{2} + (- 2)^{2}}} = \frac{2}{3}, \frac{- 1}{3}, \frac{- 2}{3} .$

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Vector Algebra

If a line has direction ratios 2,-1,-2 then what are its direction cosines?

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