Unformatted text preview: v j 2 = ( u ± v ) & ( u ± v ) by property 4 = ( u + ( ± v )) & ( u + ( ± v )) by de±nition of u ± v = ( u + ( ± v )) & u + ( u + ( ± v )) & ( ± v ) by property 3 = u & ( u + ( ± v )) + ( ± v ) & ( u + ( ± v )) by property 1 = u & u + u & ( ± v ) + ( ± v ) & u + ( ± v ) & ( ± v ) by property 3 = u & u ± u & v ± v & u + v & v by property 2 = u & u ± u & v ± u & v + v & v by property 1 = j u j 2 ± 2 u & v + j v j 2 by property 4. This completes the proof. 1...
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 Fall '10
 Ellermeyer
 Law, Vectors, Scalar, Vector Space, Dot Product, Englishlanguage films, Inner product space

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