Vector product the vector a by the vector b is a vector c, satisfying the following conditions:

• length of vector c is equal to the product of the lengths of the vectors a and b by the sine of the angle between them;
• the vector c is orthogonal to each of the vectors a and b;
• the vector c is directed so that the three vectors abc is the right one.

References

• Length of vector
• The scalar product of vectors.
• Mixed product of vectors.
• The relative position of two vectors.
• Angle between two vectors
• Coplanarity of three vectors
• Composition and subtraction of vectors