A vector of length 3 perpendicular to each of the vectors …

Maths Vector Algebra Scalar or Dot Product of Two Vectors and its Applications Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

A vector of length 3 perpendicular to each of the vectors and is

None of these

Text Solution

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The correct answer is:

Let the vector is Now according to the conditions,

.....(i)

.....(ii)

and .....(iii)

it is perpendicular to both vectors, hence by

On solving the equation (i), (ii) and (iii), we get and

Therefore, the required vector is

Trick : By inspection, the vector is of length 3 and also perpendicular to the given vectors.

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