If a , b , c are non-coplanar vectors and is a real number, then the vectors [ a +2 b +3…

Mathematics · JEE Main · NTA ExamsVectors & 3-Dimensional Geometry

If \(\vec{a}, \vec{b}, \vec{c}\) are non-coplanar vectors and \(\lambda\) is a real number, then the vectors

\([\vec{a}+2 \vec{b}+3 \vec{c})(\lambda \vec{b}+4 \vec{c}) \text { and }((2 \lambda-1) \vec{c})\) are  non-coplanar for

  1. All values of \(\lambda\)
  2. All except one value of \(\lambda\)
  3. All except two values of \(\lambda\)
  4. No value of \(\lambda\)

Answer

(B) All except one value of

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