Three Dimensional Geometry Question 276

Question: The angle between the planes $ 2x-y+z=6 $ and $ x+y+2z=7 $ is

[MP PET 1991, 98, 2000, 01, 03; RPET 2001]

Options:

A) $ 30{}^\circ $

B) $ 45{}^\circ $

C) $ 0{}^\circ $

D) $ 60{}^\circ $

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Answer:

Correct Answer: D

Solution:

$ \theta ={{\cos }^{-1}},[ \frac{2-1+2}{\sqrt{6}\sqrt{6}} ]={{\cos }^{-1}}( \frac{3}{6} )=60^{o} $ .