1 answer

Let v and w be vectors in an inner product space V. Show that v is...

Question:

Let v and w be vectors in an inner product space V. Show that v is orthogonal to w if and only if ||v + w|| = ||v – w||.

Let v and w be vectors in an inner product space V. Show that v is orthogonal to w if and only if ||v + w|| = ||v – w||.

Answers

. . 2 * Given that u and w are vechers in an anner produet space v Seppose v is orthogonal to v. <, W70 u Tpw 12 = CUFW, V+W7ET CT, U> e CJ,W>fCW, J> + CW, W> ECOū> -<,w>-<w, vfcw.ws ... mer foc0W > p <WJ> Alwi = t_cow>- <W is fllwat a 20,w> + 2.CWJ>

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