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} $ .