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Unformatted text preview: form. (a) The line passes through the points P (3 , 3 , 5) and Q (2 , 6 , 1) . (b) The line passes through the point P ( 1 , 2 , 3) and is parallel to the line given by r = (2 i j + k ) + (3 i + j 2 k ) t. (c) The line 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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