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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+2vecb+3vecc, lamdavecb+4cvec` and `(2lamda-1)vecc` are non coplanar for

A

`lamda 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

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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