Vectors identities and dot products

Reference no: EM13124686

Vectors : Identities and Dot Products
How could you use the properties of the dot product to prove the following identities: (where u and v denote vectors in Rn)

a) ||u + v||^2 + ||u-v||^2 = 2(||u||^2 + ||v||^2)
b) ||u + v||^2 - ||u-v||^2 = 4u dot v

Note:
dot = dot product
^ = power
||= distance

Reference no: EM13124686

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