Question

Is the cross product always perpendicular?

Answer 1

1. The cross product of two vectors is perpendicular to the plane at all times.
2. When two vectors are made to be cross-products, the result is always a vector quantity with both magnitude and direction.
3. The cross product of the vector product of two products, say $A$ and $B$, can be simply calculated using the formula: $A\times B=AB\sin \theta$, where $\theta$ is the angle subtended between $A$and $B$.
4. The Cross product of two vectors is always a vector quantity.

Hence, the cross-product of two vectors is always perpendicular.