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-x +2y-3z 4 Solve the system 4x-3y+z-5 1. Given the points A(4, -3,5), B(-2, 2,-3), C(I, 1, 2), 2. (a) Find vector p that has magnitude 25 and is parallel to BA (b) Find cosine of the angle BCA (c) Find a vector perpendicular to the plane ABC (d) Write equations for (i) the line BC (ii) plane ABC (e) ADBC is a parallelogram. Find (i) the coordinates of point D (ii) the area of ADBC 3. (a) What is the curve given by the equation 4x +9y -16x-200? Rewrite the equation in the canonical form and sketch the curve, indicating the relevant points and their coordinates (b) Write the equation of line KP if K is the point where the curve cuts the positive x-axis and P( 0, 10).

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