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Question

What is the angle between two planes having normal vectors as
n1=ˆi+2ˆj+2ˆk  and n2=4ˆi4ˆj+2ˆk ?


Your Answer
A

0ο
Correct Answer
B

90
Your Answer
C

45
Your Answer
D

60

Solution

The correct option is B
90
We know that angle between two planes is equal to the angle between their normal vector.
So,
cosθ=n1 . n2(n1.(n2       =(ˆi+2ˆj+2ˆk) . (4ˆi4ˆj+2ˆk)(12+22+22) (42+(4)2+22       =0

 θ=90
So, the angle between the planes is 90.

 

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