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  4. The resultant of vecA × 0 will be equal to

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Q. The resultant of $ \vec{A} \times 0 $ will be equal to

AIPMTAIPMT 1992Motion in a Plane

Solution:

The cross product $\vec{A} \times \vec{B}$ is a vector, with its direction perpendicular to both $\vec{A}$ and $\vec{B} . \vec{A} \times \vec{B}$ is area. If side $B$ is zero, area is zero.
$\vec{A} \times 0$ is a zero vector.
If in case $0$ is a scalar, then also the product is zero.
But a scalar $\times$ a vector is also a vector.
Hence one gets a zero vector in any case.