The direction cosines of a line are \(\left\langle\frac{-9}{11}, \frac{6}{11}, \frac{-2}{11}\right\rangle\)…

The direction cosines of a line are \(\left\langle\frac{-9}{11}, \frac{6}{11}, \frac{-2}{11}\right\rangle\) respectively. Then its direction ratios are
  1. \(\langle 9,6,-2\rangle\)
  2. \(\langle-9,-6,2\rangle\)
  3. \(\langle-9,6,-2\rangle\)
  4. \(\langle 9,-6,-2\rangle\)

Solution

Direction cosines of a line are given as \(\left\langle-\frac{9}{11}, \frac{6}{11},-\frac{2}{11}\right\rangle\) respectively, so the direction ratios are \(-9,6,-2\) respectively. Hence, option (c) is correct.

Asked in: AP EAMCET 2020 (21 Sep Shift 2)

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