Question: Prove in Differential Geometry way: Let e, 2, 3 be a right-handed orthonormal basis (for the definition of the vector product). If u, v, x

Prove in Differential Geometry way:

Let ( e_{1}, e_{2}, e_{3} ) be a right-handed orthonormal basis (for the definition of the vector product). If ( u, v, x  

Let e, 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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