JEE Main2004MathematicsVector AlgebraActual

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

Options

Aall values of
Ball except one value of
Call except two values of
Dno value of

Correct answer

C. all except two values of

Step-by-step solution

Condition for given three vectors to be coplanar is | array ccc 1 & 2 & 3 0 & & 4 0 & 0 & 2 -1 array |=0 =0,1 / 2 Hence given vectors will be non coplanar for all real values of except 0,1 / 2

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