Prove in Differential Geometry way: Let e, 2, 3 be a right-handed orthonormal basis (for the definition

Prove in Differential Geometry way:

 

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Let e₁, 2, 3 be a right-handed orthonormal basis (for the definition of the vector product). If u, v, x are vectors then (u+r)^v=u^v + x^ v. Let e₁, 2, 3 be a right-handed orthonormal basis (for the definition of the vector product). If u, v, x are vectors then (u+r)^v=u^v + x^ v.

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To prove u x v u v x v using differential geometry we can use the fact that the exterior product of ... View the full answer