M23Fall04a(sol) - Mathematics 23 Midterm Exam Solutions Answer all questions and be sure to show all work No notes books or calculators are allowed 1

M23Fall04a(sol) - Mathematics 23 Midterm Exam Solutions...

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Mathematics 23 Midterm Exam, September 30, 2004 + Solutions Answer all questions and be sure to show all work . No notes, books, or calculators are allowed. 1. Leta=i+j+2kand letb=-3i-2j+4k. Areaandborthogonal, parallel,or neither? Explain carefully. 2. a. Find the unit tangent vectorT(t) to the curver(t) =h6t5,4t3,2ti. Answer. b. Find the parametric equations of the tangent line tor(t) at the point (6,4,2).

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