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Unformatted text preview: form. (a) The line ℓ passes through the points P (3 , 3 , − 5) and Q (2 , − 6 , 1) . (b) The line ℓ passes through the point P ( − 1 , 2 , 3) and is parallel to the line ℓ ′ given by r = (2 i − j + k ) + (3 i + j − 2 k ) t. (c) The line ℓ passes through the point P (1 , − 1 , 1) and is perpendicular to the plane 2 x + 3 y − z = 4 . Copyright c c 2012 The University of Sydney 1 8. A particle moves along a curve whose parametric equations are x ( t ) = e − t , y ( t ) = 2 cos 3 t, z ( t ) = 2 sin 3 t, where t is the time. (a) Determine its velocity vector and acceleration vector. (b) Find the magnitudes of the velocity and acceleration at t = 0 . 2...
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This note was uploaded on 02/06/2012 for the course MATH 2061 taught by Professor Notsure during the Three '09 term at University of Sydney.
 Three '09
 NOTSURE
 Statistics, Vector Calculus

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