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AP EAMCET · Maths · Vector Algebra

If \(P=(0,1,2), Q=(4,-2,1)\) and \(O=(0,0,0)\) then \(\angle \mathrm{POQ}=\)

  1. A \(\frac{\pi}{6}\)
  2. B \(\frac{\pi}{4}\)
  3. C \(\frac{\pi}{3}\)
  4. D \(\frac{\pi}{2}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{\pi}{2}\)

Step-by-step Solution

Detailed explanation

\(P=(0,1,2), Q=(4,-2,1) \text { and } O=(0,0,0)\) Equation of line \(O P, \frac{x}{0}=\frac{y}{1}=\frac{z}{2}\) Equation of line \(O Q, \frac{x}{4}=\frac{y}{-2}=\frac{z}{1}\)…