Cross Product: The vector or cross product of two non-zero vectors \(\vec a\) and \(\vec b\), denoted by \(\vec a\times\vec b,\) is defined as
where θ is the angle between \(\vec a\) and \(\vec b\), 0 ≤ θ ≤ π and \(\hat n\) is a unit vector perpendicular to both \(\vec a\) and \(\vec b\), such that \(\vec a\), \(\vec b\) and \(\hat n\) form a right handed system.
But, we have the dot product of two vectors \(\vec a\) and \(\vec b\) forming and angle θ a \(\vec a.\vec b=|\vec a||\vec b|cos\,\theta\)
Now, we divide these two equations.
