I don't know if this the right thread to get help, but here it goes.

Prove that:

|x + y|^2 + |x-y|^2 = 2|x|^2 + 2|y|^2 if x is an element of R^k and y is an element of R^k.

Interpret this geometrically, as a statement about parallelograms.

Printable View

- Jun 11th 2006, 05:53 PMSusie38Help
I don't know if this the right thread to get help, but here it goes.

Prove that:

|x + y|^2 + |x-y|^2 = 2|x|^2 + 2|y|^2 if x is an element of R^k and y is an element of R^k.

Interpret this geometrically, as a statement about parallelograms. - Jun 12th 2006, 02:39 PMThePerfectHackerQuote:

Originally Posted by**Susie38**

Then,

Then,

Then,

Thus,

Similarily,

When you add them together you have,

=