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Unformatted text preview: , 1 , 3) in the direction of v . (d) Find a nonzero vector orthogonal to u and parallel to the plane given by the equation: 2 y + 3 z = x + 1. (2) What is the distance to the origin of the plane containing the points (1 , , 1), (0 , 1 , 1), and (2 , 1 , 0)? (3) Find the position at time t of an object that starts from the point (0 , 1 , 0) at an initial velocity v = 2 ˆ k , and with acceleration vector a =cos t ˆ isin t ˆ j + ˆ k . (4) Compute the length of the curve given by: r ( t ) = cos 3 t ˆ i + sin 3 t ˆ j , 0 ≤ t ≤ 3 π/ 4. (5) Find a parametrization of the portion of the curve given by the equation: x 2 + y 2 + 2 y = 3 and lying between the points ( √ 3 , 0) and (0 , 1). Date : September 29, 2008....
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This note was uploaded on 11/11/2008 for the course MATH MATH241 taught by Professor Wentworth during the Winter '08 term at Maryland.
 Winter '08
 WENTWORTH
 Math, Calculus

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