Question

If a, b,c are non-coplanar vectors and λ is a real number, then the vectors a +2 b + 3 c, λ b + 4 c and (2λ - 1) c are non-coplanar for 

(a) all values of λ 

(b) all except one value of λ 

(c) all except two values of λ, 

(d) no value of λ

Answer 1

The correct option is (c) all except two values of λ, 

Explanation:

The three vectors (a + 2b + 3c), (λb + 4c) and (2λ - 1) c are non-coplanar, if

So. these three vectors are non-coplanar for all except two values of λ.