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**Unformatted text preview: **EXAM I Math 51, Spring 2003. You have 2 hours. No notes, no books, no calculators. YOU MUST SHOW ALL WORK AND EXPLAIN ALL REASONING TO RECEIVE CREDIT Good luck! Name ID number 1. (/20 points) 2. (/15 points) 3. (/15 points) 4. (/20 points) 5. (/15 points) 6. (/15 points) Bonus (/10 points) Total (/100 points) “On my honor, I have neither given nor received any aid on this examination. I have furthermore abided by all other aspects of the honor code with respect to this examination.” Signature: Circle your TA’s name: Byoung-du Kim (2 and 6) Ted Hwa (3 and 7) Jacob Shapiro (4 and 8) Ryan Vinroot (A02) Michel Grueneberg (A03) Circle your section meeting time: 11:00am 1:15pm 7pm 1 1. Consider the following three vectors:-→ u = 3 4 12 -→ v = 2 3 6 -→ w = 3 6 6 (a) Find the magnitude of each of the given vectors. (b) Find a parametric representation of the unique plane that contains all of the given vectors....

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