If the vectors `a + lamda b + 3c, -2a + 3b - 4c` and `a - 3b + 5c` are coplanar and `a, b, c` are non-coplanar, then the value of `lambda` isA. 2B. `-1`C. 1D. `-2`

If the vectors `a + lamda b + 3c, -2a + 3b - 4c` and `a - 3b + 5c` are

1.	If the vectors `a + lamda b + 3c, -2a + 3b - 4c` and `a - 3b + 5c` are coplanar and `a, b, c` are non-coplanar, then the value of `lambda` isA. 2B. `-1`C. 1D. `-2`
Answer» Correct Answer - D Since, the given three vectors are coplanar, therefore one of them shold be expressblle as a llinear Scalars x and y such that `a+lamda b+3c=x(-2a+3b-4c)+y(a-3b+5c)` On comparing the coefficient of a, b anc c on both sides, we get `-2x+y=1, 3x=lamda` and `-4x+5y=3` On sloving first and third equations, we get `x=-1/3, y=1/3` Since, the vectors are coplanar, therefore these values of x and y, also satisty the second equation i.e., `-1-1=lamda` `:." "lamda=-2`

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If the vectors `a + lamda b + 3c, -2a + 3b - 4c` and `a - 3b + 5c` are coplanar and `a, b, c` are non-coplanar, then the value of `lambda` isA. 2B. `-1`C. 1D. `-2`

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