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:

(C) all except two values of λ

Vector Algebra: JEE Main 2004 Mathematics question

JEE Main 2004 · Annual, Paper 1 · Q5707

JEE Main 2004Annual, Paper 1MathematicsMediumVector Algebra184× since 2002

{\overrightarrow a ,\overrightarrow b ,\overrightarrow c }

are non-coplanar vectors and

\lambda

is a real number, then the vectors

{\overrightarrow a + 2\overrightarrow b + 3\overrightarrow c ,\,\,\lambda \overrightarrow b + 4\overrightarrow c }

and

\left( {2\lambda - 1} \right)\overrightarrow c

are non coplanar for :

JEE Main 2004 · Annual, Paper 1 · Q5707

JEE Main 2004Annual, Paper 1MathematicsMediumVector Algebra184× since 2002

{\overrightarrow a ,\overrightarrow b ,\overrightarrow c }

are non-coplanar vectors and

\lambda

is a real number, then the vectors

{\overrightarrow a + 2\overrightarrow b + 3\overrightarrow c ,\,\,\lambda \overrightarrow b + 4\overrightarrow c }

and

\left( {2\lambda - 1} \right)\overrightarrow c

are non coplanar for :