Lec 34 Final review MIT 18.02 Multivariable Calculus, Fall 2007
OK, so anyway, let's get started. So, the first unit of the class, so basically I'm going to go over the first half of the class today, and the second half of the class on Tuesday just because we have to start somewhere. So, the first things that we learned about in this class were vectors, and how to do dot-product of vectors. So, remember the formula that A dot B is the sum of ai times bi. And, geometrically, it's length A times length B times the cosine of the angle between them. And, in particular, we can use this to detect when two vectors are perpendicular. That's when their dot product is zero. And, we can use that to measure angles between vectors by solving for cosine in this. Hopefully, at this point, this looks a lot easier than it used to a few months ago. So, hopefully at this point, everyone has this kind of formula memorized and has some reasonable understanding of that. But, if you have any questions, now is the time. No? Good. Next we le...