Why is the product of two vectors a vector in another dimension, why is it defined by the right-hand rule, and why is it defined by the area of the parallelogram defined by the two vectors? What are some applications of the cross product?

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- January 15th 2012, 02:57 PMSchiavoCross product
Why is the product of two vectors a vector in another dimension, why is it defined by the right-hand rule, and why is it defined by the area of the parallelogram defined by the two vectors? What are some applications of the cross product?

- January 15th 2012, 05:58 PMTKHunnyRe: Cross product
Let go of your visual representation. it will not take you far.

It simply is defined by the right-hand rule. Define by the left-hand rule and do everything updise down and backwards. It's a convention.

It isn't defined as an area. This is an application.