MATH 32A Study Guide - Midterm Guide: List Of Trigonometric Identities, Common Interface, Parametric Equation

• School: UCLA
• Department: Mathematics
• Course: MATH 32A
• Professor: All

Document Summary

Practice for midterm i (solutions: let p , q and r be three points and a = a b + a c + b c = (hint: how long is a + b + c?) We have a + b + c = Rp = 0, the all 0-vector since we will start and stop at the same point. In particular, in answer to the hint, we have that a + b + c has length 0. But we can nd the length (or more precisely length squared) by using the dot product (and there are dot products in the above equation). 0 = (a + b + c) (a + b + c) = a a + a b + a c + b a + b b + b c + c a + c b + c c.