MATH 2210Q Final: Final Exam Spring 2016 Solutions
Document Summary
Note: this (mostly) only covers material past the second exam. Please refer to previous practice questions for material from test 1 and test 2. The questions are broken into 3 categories: fundamental questions, advanced questions(*), and chal- lenge questions(**). The fundamental questions test a basic understanding of the de nitions and processes. Advanced questions test applying that understanding to more complicated problems. Finally, challenge questions are questions that are intended to stump you. Solution: (c) (b) (a) (d) (e: for each of the above vectors, nd a unit vector that points in the same direction. 5/ 29(cid:21) , (d: find a unit vector in r2 that is orthogonal to (cid:20) 1. , (e) does not apply, this v1 = 2v2. v2(cid:21) such that ~v (cid:20) 1. Solution: we want to nd a vector ~v = (cid:20)v1 gives the equation v1 + 2v2 = 0 so.
