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Let 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` Q. The value of `((q)/(p)+2costheta)` is

A

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

B

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

C

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

D

None of these

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The correct Answer is:
B
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ARIHANT MATHS ENGLISH-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)
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  5. Let a, b and c be three unit vectors such that atimes(btimesc)=(sqrt(3...

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  9. Let vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec ...

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  14. The edges of a parallelopiped are of unit length and are parallel to ...

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  15. Let two non-collinear unit vectors veca and vecb form an acute angle. ...

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  17. The number of distinct real values of lambda , for which the vectors...

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  19. Let vec A be a vector parallel to the line of intersection of plan...

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