Exam (elaborations) MATH 32A 2018 Final Solutions

Exam (elaborations) MATH 32A 2018 Final Solutions Name: ID: Signature: To get credit for a problem, you must show all of your reasoning and calculations. No calculators may be used. Box your final answer. Please write only on the front. You may use left-over space on a page as extra space: clearly label your work with the problem number. If you cannot find a vector that you need for a later part of a problem, you may use the vector h1, 2, 3i. Circle your section: Section: Tuesday: Thursday: TA: 2A 2B Frederick Vu 2C 2D Nicholas Boschert 2E 2F Victoria Kala Problem Possible Points Problem Possible Points 1 24 9 15 2 10 10 20 3 10 11 15 4 20 12 10 5 10 13 15 6 10 14 15 7 20 15 10 8 10 16 25 Total 249 MATH 32A 2018 Final Solutions MATH 32a Final Exam December 12, 2018 1. (2 points each) True/False! Circle the appropriate answer. No justification is needed here. (1) For any three vectors ~v, w~, and ~u, ~v ⇥(~u⇥w~)=(~v ⇥~u)⇥w~. True False (2) For any two vectors ~v and ~u, ~v ⇥ ~u =