For two particular vectors and

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

For two particular vectors A\mathbf{A} and B\mathbf{B} , it is known that A×B=B×A\mathbf{A} \times \mathbf{B} = \mathbf{B} \times \mathbf{A} . What must be true about the two vectors? (1) At least one of the two vectors must be the zero vector (2) A×B=B×A\mathbf{A} \times \mathbf{B} = \mathbf{B} \times \mathbf{A} is true for any two vectors (3) One of the two vectors is a scalar multiple of the other vector (4) The two vectors must be perpendicular to each other

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