QJEEM24Ma4752: JEE Main 2024 Mathematics - Class 12 JEEM24Ma4752 Solution: Let P ( 3 , 2 , 3 ) , Q ( 4 , 6 , 2 ) and R ( 7 , 3 , 2 ) be…

Question

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Let $P (3, 2, 3), Q (4, 6, 2)$ and $R (7, 3, 2)$ be the vertices of $△ PQR$ . Then, the angle $∠ QPR$ is

Accepted Answer

JEE Main 2024 (Online) 29th January Evening Shift Mathematics - 3D Geometry Question 43 English Explanation

Direction ratio of $PR = (4, 1, - 1)$

Direction ratio of $PQ = (1, 4, - 1)$

Now, $\cos θ = | \frac{4 + 4 + 1}{\sqrt{18} \cdot \sqrt{18}} |$

$θ = \frac{π}{3}$

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