Saturday, May 7, 2016

The Cross Product

In mathematics and vector calculus, the cross product or vector product is a binary operation on two vectors in three dimensional space (R3) and is denoted by the symbol ×.

Given two linearly independent vectors a and b, the cross product, a × b, is a vector that is perpendicular to both a and b and therefore normal to the plane containing them. It has many applications in mathematics, physics, engineering, and computer programming.

The magnitude of the cross product is the area of the parallelogram with two sides A and B. The orientation of the cross product is orthogonal to the plane containing this parallelogram.


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