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Scalar product proof b a b l a l a l = a 0 b l = b Cos b Sin Since a . b = a l . b l a l . b l = (a*b Cos) + (0 * b Sin) So a l . b l = abCos Then a . b = a b Cos

Scalar product proof

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Scalar product proof. b l. q. b. a. q. a l. b l = b Cos q b Sin q. a l = a 0. a l . b l = (a*b Cos q ) + (0 * b Sin q ). So a l . b l = abCos q. Since a . b = a l . b l. Then a . b = a b Cos q. - PowerPoint PPT Presentation

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Page 1: Scalar product proof

Scalar product proof

b a

bl

al

al = a 0

bl = b Cos b Sin

Since a . b = al . bl

al . bl = (a*b Cos) + (0 * b Sin)So al . bl = abCos

Then a . b = a b Cos