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Three Dimensional Geometry — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsThree Dimensional Geometry1 Mark
MCQ
If a line has direction ratios 2, -1, -2, determine its direction cosines:
  • A
    $\frac{1}{3}, \frac{2}{3},\frac{-1}{3}$
  • B
    $\frac{2}{3}, \frac{-1}{3},\frac{-2}{3}$
  • C
    $\frac{-2}{3}, \frac{1}{3}, \frac{2}{3}$
  • D
    None of the above
✓

Answer

  1. $\frac{2}{3}, \frac{-1}{3},\frac{-2}{3}$

Solution:

Direction cosines are.

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

$=\frac{2}{3}, \frac{-1}{3},\frac{-2}{3}$

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