The direction cosines of a line are langle fr | vedclass

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Question

(C) The direction cosines $(l, m, n)$ of a line are proportional to its direction ratios $(a, b, c)$.Given the direction cosines are $\langle -\frac{9

Vedclass · Accepted Answer

$\langle -9, 6, -2 \rangle$

Vedclass · Answer

(C) The direction cosines $(l, m, n)$ of a line are proportional to its direction ratios $(a, b, c)$.Given the direction cosines are $\langle -\frac{9}{11}, \frac{6}{11}, -\frac{2}{11} \rangle$.We know that direction ratios can be any set of numbers proportional to the direction cosines.If we multiply the direction cosines by the constant $k = 11$,we get the direction ratios as $\langle -9, 6, -2 \rangle$.Therefore,the direction ratios are $\langle -9, 6, -2 \rangle$.Hence,option $C$ is correct.

The direction cosines of a line are $\langle \frac{-9}{11}, \frac{6}{11}, \frac{-2}{11} \rangle$ respectively. Then its direction ratios are

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