If Vector a= 2i - 4j + k and Vector b= -4i + j +2k how do you find a unit vector perpendicular to both vector a and b?
Please see the explanation.
A vector perpendicular to any two vectors is found by computing the cross-product:
We can multiply by the scalar -1 and still have a perpendicular vector:
To obtain a unit vector, divide by the magnitude:
A unit vector perpendicular to both vectors is: