If \(\rm \vec a \cdot \vec b = 0\) and \(\rm \vec a \times \vec b = \vec 0\) then which one of the following is correct?
1
\(\rm \vec a\) is parallel to \(\rm \vec b\)
2
\(\rm \vec a\) is perpendicular to \(\rm \vec b\)
3
\(\rm \vec a = \vec 0\) or \(\rm \vec b = \vec 0\)
4
None of the above