Unformatted text preview: 2 ˆ + 3 sin t ˆ k for 0 ≤ t ≤ π . Mark the start and end [10 pts] points with their coordinates. (b) Write down a parametrization of the curve. The curved part is the parabola y = x 2 . [10 pts] Please put problem 4 on answer sheet 4 4. (a) Give the symmetric equations of the line through (1 , 2 , 3) and (4 ,2 , 1). [7 pts] (b) If ¯ a ( t ) = 2ˆ ı , ¯ v (1) = 2ˆ ı + ˆ + ˆ k and ¯ r (1) = ¯ 0, ±nd ¯ r ( t ). [13 pts] Please put problem 5 on answer sheet 5 5. Find the point on the plane 2 x +3 y + z = 8 which is closest to the point (1 , 2 , 3). There is more [20 pts] than one way to do this. Any remotely relevant pictures and/or calculations will be accepted for partial credit....
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 Spring '08
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 Math

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