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Question

Angle between the planes x+y+2z=6 and 2xy+z=9 is,

A
π4
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B
π6
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C
π3
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D
π2
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Solution

The correct option is C π3
Angle between the planes= angle between the normals
The normal vectors are,
n1=^i+^j+2^kn2=2^i^j+^k
Taking dot product,
n1n2=21+2=3|n1||n2|=36×6cosθ=3cosθ=12θ=π3

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