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If veca, vecb and vecc are any three vec...

If `veca, vecb` and `vecc` are any three vectors forming a linearly independent system, then `AA theta in R`
`vecp=vecacostheta+vecbsintheta+vecc(cos2theta)`
`vecq=vecacos((2pi)/(3)+theta)+vecbsin((2pi)/(3)+theta) + vecc(cos 2)((2pi)/(3)+theta)`
and `vecr=vecacos(theta-(2pi)/(3))+vecbsin(theta-(2pi)/(3))+vecc cos2(theta-(2pi)/(3))`
then `[vecpvecqvecr]`

A

`[vecavecbvecc]costheta`

B

`[vecavecbvecc]cos2theta`

C

`[vecavecbvecc]cos3theta`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
The system of vectors is coplanar, since their sum is zero.
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