Question: a. Show that (u + v) (u + v) = |u| 2 + 2 u v + |v| 2 . b. Show that

a. Show that (u + v) • (u + v) = |u|2 + 2 u • v + |v|2.

b. Show that |u + v| • |u + v| = |u|2 + |v|2 if u is orthogonal to v.

c. Show that (u + v) • (u - v) = |u|2 - |v|2.

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