The Vector Cross Product (V x U) computes the resulting vector (W) that is normal to the plane defined by two vectors (V and U) in three dimensional space.
INSTRUCTIONS: Enter the following:
Vector Cross Product (W): The calculator returns the cross product vector (e.g. 1,-2,1)
Thecreate a third vector that is orthogonal (90 degrees) from both original vectors. This is know as a normal vector to the plane created by vectors U and V. For this reason, a single normal vector is often used to define a plane. To compute the , compute the determinant of the following:
| i j k |
V x U = |Vx Vy Vz|
|Ux Uy Uz|
V x U = (Vy⋅ Uz - Uy⋅ Vz), -1(Vx ⋅ Uz - Ux ⋅ Vz), (Vx ⋅ Uy - Ux⋅Vy)