8. Cross Product (aka Vector Product) of 2 Vectors
Suppose we have 2 vectors A and B. These 2 vectors lie on a plane and the unit vector n is normal (at right angles) to that plane.
The cross product (also known as the vector product) of A and B is given by:
A × B = |A| |B| sin θ n
The right hand side represents a vector at right angles to the plane containing vectors A and B.
Note: Some textbooks use the following notation for the cross product: A∧B.
In the earlier application involving a cubic box (see Vectors in 3D Application), we had a unit cube that had one corner at the origin. We found that the diagonal vectors BS and CP meet at an angle of `70.5^@` at the center of the cube.
Using the same unit cube, find the vector product of the vectors BS and CP.