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

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

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`

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

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)`.

5 views Answered 2023-02-05 15:29