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Vectors — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsVectors2 Marks
MCQ
Line with direction ratios $1,1,1$ is
  • A
    parallel to X-axis
  • B
    parallel to Y-axis
  • C
    parallel to Z-axis
  • ✓
    equally inclined to axes
✓

Answer

Correct option: D.
equally inclined to axes
(D) D.c.s. of the line are $\frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}$
$\therefore \cos \alpha=\frac{1}{\sqrt{3}}, \cos \beta=\frac{1}{\sqrt{3}}, \cos \gamma=\frac{1}{\sqrt{3}}$
Hence, line is equally inclined to axes.

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