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Question

a,b,c are the edges of a cube of unit length and r be any unit vector inside the cube the |a×r|2+b×r2+|c×r|2 is



A

0

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B

1

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C

2

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D

3

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Solution

The correct option is C

2


|(a×r)|2+(b×r)2+|(c×r)|2=sin2α+sin2β+sin2γ=2


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