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but this is when we think about uh direction and magnitude or if youamp;#39;d like to think about it that way in polar form right thatamp;#39;s the direction of magnitude gives you we also need to know how to calculate this in component form right component form now you may remember or maybe you just have in your book what the definition definition is in 2d what the formula is in 2d for the dot product in 2d but what i want to actually do is prove it for you okay how can we prove that this is going to give you this object over here which you could more or less guess based on what it looks like in 2d but how can we actually establish that fact so hereamp;#39;s what iamp;#39;d like you to do draw with me a diagram thatamp;#39;s going to have some arbitrary a and some arbitrary b and iamp;#39;m going to give you sort of a two to three minute head start because you did this proof in the opposite direction within extension one most likely okay coming from component form and then using
