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Vectors — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsVectors2 Marks
MCQ
The valid direction angle triplet of a line L is
  • A
    $\frac{\pi}{6}, \frac{\pi}{4}, \frac{\pi}{3}$
  • ✓
    $\frac{\pi}{4}, \frac{\pi}{3}, \frac{\pi}{3}$
  • C
    $\frac{\pi}{2}, \frac{\pi}{3}, \frac{\pi}{3}$
  • D
    $0, \frac{\pi}{3}, \frac{\pi}{3}$
✓

Answer

Correct option: B.
$\frac{\pi}{4}, \frac{\pi}{3}, \frac{\pi}{3}$
(B) Consider option (B)
$\therefore \quad \cos ^2 \frac{\pi}{4}+\cos ^2 \frac{\pi}{3}+\cos ^2 \frac{\pi}{3}$
$=\frac{1}{2}+\frac{1}{4}+\frac{1}{4}=1$
$\therefore \quad$ correct answer is option (B).

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