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Question

A line makes an angle α,β,γ with the X,Y,Z axes. Then sin2α+sin2β+sin2γ=

A
1
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B
2
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C
32
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D
4
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Solution

The correct option is C 2
For a vector
cos2(α)+cos2(β)+cos2(γ)=1
1sin2(α)+1sin2(β)+1sin2(γ)=1
sin2(α)+sin2(β)+sin2(γ)=31=2
Option B

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