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Unformatted text preview: 2 x + yz =1. (a) Does the line intersect the plane? If yes, Fnd the intersection point. In any case, justify your answer. (b) ±ind the equation of the line, passing through the point (0 ,1 ,1) and orthogonal to the plane given above. 4. (6 points) A particle moves in a plane with a velocity function given by the expression v ( t ) = h 3 sin( t ) , 2 cos( t ) i , for t ≥ 0. (a) Find the acceleration a ( t ) function of the particle. (b) Find the position function r ( t ) of the particle knowing that the initial position of the particle is r (0) = h1 , 1 i ....
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 Fall '08
 Helton
 Math, Calculus, Expression, Euclidean geometry

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