Find a vector of magnitude 6, which is perpendicular to both the vectors and
Let the vectors be and , such that
We need to find a vector perpendicular to both the vectors and .
Any vector perpendicular to both and can be given as,
Let
As we know, a unit vector in a normed vector space is a vector (often a spatial vector) of length 1.
So,
A vector of magnitude 6 in the direction of is given by,
Here, .
Thus, required vector is .