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a, b, c are non-zero unit vectors inclin...

a, b, c are non-zero unit vectors inclined pairwise with the same angle `theta`, p, q, r are non-zero scalars satisfying `atimesb+btimesc=pa+qb+rc.` Now, answer the following questions. Q. `|(q+p)costheta+r|` is equal to
a. `(1+costheta)(sqrt(1-2costheta))`
b. `2sin^2((theta)/2)sqrt((1+2costheta))`
c. `(1-sintheta)sqrt(1+2costheta))`
d. None of these

A

`(1+costheta)(sqrt(1-2costheta))`

B

`2sin^2((theta)/2)sqrt((1+2costheta))`

C

`(1-sintheta)sqrt(1+2costheta))`

D

None of these

Text Solution

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The correct Answer is:
B
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