Find a vector which is perpendicular to both vector A and B, where A=2i+3j+4k B=i+2j+3k?
The vector is
The vector perpendicular to 2 vectors is calculated with the determinant (cross product)
Here, we have
Verification by doing 2 dot products
Cross product of vectors A and B is perpendicular to each vector A and B.
We know that cross product of any two vectors yields a vector which is perpendicular to both vectors
Inserting given vectors we obtain