what is the geometical interpretation of $\vec a.\vec b$?(dot product)
I know the projection of $\vec a $ on $\vec b$ is $\vec a.\hat b$.
But what is a projection here?
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one interpretation of $a \cdot b$, after you scale both of them to be unit vectors, is how well $a$ and $b$ are correlated. they are positively correlated if $a.b = 1$ and negatively correlated if $a.b = -1$ and in between measured by $\cos$ of the angle between them.
abel
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Shouldn't this be $>0$ or $<0$? – Ted Shifrin Jan 04 '15 at 19:02
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@TedShifrin, i am not what you mean? can you give me some hint? – abel Jan 04 '15 at 19:18