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If veca, vecb, vecc are non-coplanar vec...

If `veca, vecb, vecc` are non-coplanar vectors and `lamda` is a real number, then the vectors `veca + 2 vecb + 3 vec c , lamda vecb + mu vec c and (2 lamda -1) vecc` ar non-coplanar for:

A

`mu in R`

B

`lamda=(1)/(2)`

C

`lamda=0`

D

no value of `lamda`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
For coplanar vectors `|(1,2,3),(0,lamda,mu),(0,0,2lamda-1)|=0`
or `(2lamda-1)lamda=0` or `lamda=0,(1)/(2)`.
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