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Question

The reflection of the point 3i + 5j + 7k with respect to the plane ¯r. (2i + j + k) = 6 is


A

5i + j + 3k

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B

–5i + j – 3k

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C

5i – j + 3k

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D

–5i + j + 3k

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Solution

The correct option is D

–5i + j + 3k


Let reflection of(3,5,7) w.r.t the plane 2x+y+z6=0 be (α,β,γ)

We have α32=β51=γ71=2(6+5+76)4+1+1=4 α=5,β=1,γ=3


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