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Let veca=a(1)hati+a(2)hatj+a(3)hatk,vecb...

Let `veca=a_(1)hati+a_(2)hatj+a_(3)hatk,vecb=b_(1)hati+b_(2)hatj+b_(3)hatk and vecc=c_(1)hati+c_(2)hatj+c_(3)hatk` be three non-zero vectors such that `vecc` is a unit vector perpendicular to both `veca and vecb`. If the angle between `veca and vecb is pi//6` then the value of `|{:(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3)):}|"is"`

A

0

B

1

C

`(1)/(4)|vec(a)|^(2)|vec(b)|^(2)`

D

`(3)/(4)|vec(a)|^(2)|vec(b)|^(2)|vec( c )|^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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