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

Answer

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.

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