When Does a Cross Product on R Exist?
نویسنده
چکیده
It is probably safe to say that just about everyone reading this article is familiar with the cross product and the dot product. However, what many readers may not be aware of is that the familiar properties of the cross product in three space can only be extended to R. Students are usually first exposed to the cross and dot products in a multivariable calculus or linear algebra course. Let u 6= 0, v 6= 0, ṽ, and w̃ be vectors in R and let a, b, c, and d be real numbers. For review, here are some of the basic properties of the dot and cross products:
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تاریخ انتشار 2013