Three Dimensional Geometry Question 366

Question: If the planes $ 3x-2y+2z+17=0 $ and $ 4x+3y-kz=25 $ are mutually perpendicular , then $ k= $

[MP PET 1995]

Options:

A) 3

B) ? 3

C) 9

D) ? 6

Show Answer

Answer:

Correct Answer: A

Solution:

Obviously, $ 3\times 4+(-2)\times 3+2\times (-k)=0 $
$ \Rightarrow 12-6-2k=,0\Rightarrow k=3., $