A vector which is orthogonal to the vector a = i +2 j +3 k and coplanar with the vectors b =3 i +2 j and c =2 i + j +3 k is

MHT CET 2026 Mathematics question

A vector which is orthogonal to the vector and coplanar with the vectors and is

(A)Correct
(B)
(C)
(D)

Answer: (A)

Solution

A vector lying in the plane of and perpendicular to is (it is perpendicular to , and as a cross product with it is perpendicular to the plane normal, hence coplanar with $

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Question ID VK-100475