I want to know if there is a more natural way of deriving $ a·b = |a| × |b| \cos(\theta)$ without using algebraic identities and looking at a figure instead. I am familiar with the algebraic method.
Show $ a·b = |a| × |b| \cos(\theta)$ geometrically and by using no algebraic arguments at all
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geometry
algebra-precalculus
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4How do you define $a\cdot b$ geometrically? – 2012-12-30