Explain vector product of two vectors.

The vector or cross product of two vectors yields a vector quantity.
If we have two vectors $\overrightarrow{A}$ and $\overrightarrow{B}$, their vector product is given by a vector $\overrightarrow{C}$ that is perpendicular to both $\overrightarrow{A}$ and $\overrightarrow{B}$, with a direction given by the right-hand rule and the magnitude is
$|\overrightarrow{A}\times \overrightarrow{B}|=|\overrightarrow{A}||\overrightarrow{B}|\sin \theta$
Here, $|\overrightarrow{A}|$ is the magnitude of $\overrightarrow{A}$.
$|\overrightarrow{B}|$ is the magnitude of $\overrightarrow{B}$.
$\theta$ is the angle between $\overrightarrow{A}$ and $\overrightarrow{B}$.