Question

If a,b and c are non-coplanar vectors and `lamda` is a real number, then the vectors `a+2b+3c,lamdab+muc and (2lamda-1)c` are coplanar when
A. `mu in R`
B. `lamda=(1)/(2)`
C. `lamda=0`
D. no value of `lamda`

Answer 1

Correct Answer - 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)`.