Q. 45.0( 1 Vote )
Mark (√) against the correct answer in the following:
If a vector makes angle α, β and γ with the x-axis, y-axis and z-axis respectively then the value of (sin2α + sin2β + sin2γ) is
A. 1
B. 2
C. 0
D. 3
Answer :
Given α , β and γ are the angles made by the vector with X,Y and z axes respectively
are the direction cosines .
As we know that if are the direction cosines , then the relation between them is
We also know that
So we can write ((
⇒
⇒
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