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  4. A vector vecA is along the positive z -axis and its vector product with another vector vecB is zero, then vector vecB could be

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Q. A vector $\vec{A}$ is along the positive $z$ -axis and its vector product with another vector $\vec{B}$ is zero, then vector $\vec{B}$ could be

Motion in a Plane

Solution:

The vector product of two non-zero vectors is zero if they are in the same direction or in the opposite direction. Hence vector $\vec{B}$ must be parallel or antiparallel to vector $\vec{A},$ i.e. along $\pm z$ -axis.