CROSS PRODUCT IN FOUR DIMENSIONS AND BEYOND
Ronald N. Goldman, Rice University, Houston, Texas
Publisher Summary
This chapter discusses cross product in four dimensions and beyond. Cross product is one of God’s great gifts to mankind. It has many applications in mathematics, physics, engineering, and, computer graphics. Normal vectors, rotations, curl, angular momentum, torque, and magnetic fields make use of the cross product. Given two linearly independent vectors u and ν in three dimensions, their cross product is the vector u × ν, perpendicular to the plane of u and v and oriented according to the right-hand rule. There is a way to look at the cross product that is more instructive than the standard definition and that generalizes ...
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