The number of vectors of unit length perpendicular to the vectors
and
is
Given that , ![]()
Now, a vector which is perpendicular to both
is given by

Now, ![]()
∴ the required unit vector
=![]()
There are two perpendicular directions to any plane. Thus, another unit vector perpendicular to ![]()
⇒ ![]()
Hence, there are two unit length perpendicular to the
.