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Unformatted text preview: , 1 , 0). (c) Find the equation of the plane containing the point (1,1,0) in the direction of the tangent line to C at (1 , 1 , 0). e.g. the tangent vector to C at (1,1,0) determines the direction of the plane. Such a plane is called the Normal Plane to the curve C . 4 4. (20 points) Do as indicated (a) Find a vector perpendicular to the plane containing the points A (1 , , 0), B (2 , ,1), and C (1 , 4 , 3). (b) Find the area of triangle ABC . 5 5. (20 points) Determine the point where the tangent lines to the curve r ( t ) = h sin πt, 2sin πt, cos πt i at the points t = 0 and t = 1 / 2 intersect. Lastly, ﬁnd the angle between the two lines. (Note: the parameters for each line may be diﬀerent.) skip this page 6...
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 Winter '09
 Park
 Math, Multivariable Calculus, Parametric equation, Vectorvalued function, Dr. Frederick Park

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