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a = hat I -hatj +hat k b=hat I -2hat j +...

`a = hat I -hatj +hat k b=hat I -2hat j +hat k ,c =phat I +2 hat j +q hatk` and `d=phat I + q hat j +2 hat k` are given vectors if the projection of c on a is `5sqrt(3)` units and if a,b and c form a parallelopiped of volume 5 cubic units then `tan^(-1)(b,d)=`

A

`(pi)/(2 )`

B

`(pi )/(3)`

C

`(pi)/(4)`

D

`(pi)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
C
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