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18. Given the following 3 points: A(1, 1,0), B(-1,2,1) and C(1,0,5) A.) Find the vector and paramedic forms of a line that passes though points

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18. Given the following 3 points: A(1, 1,0), B(-1,2,1) and C(1,0,5) A.) Find the vector and paramedic forms of a line that passes though points A and B [2] B.) Find the vector and parametric equations of the plane that includes points A, B and C[2] C.) Find any fourth point, D, that is on the plane from part C [1] 19. Given the scalar equation of the plane and the point, P , following, test if the point is on the plane: 3x - 3y + 2z - 6 = 0 and P(1,-3,5)[1] 20. Given 4 : r = (1, -2, ) + t(1,1) and 12 : r = (2,0) + s(-3, -3) determine if l, and 12 will intersect or not. [1] 21. Do the following line and plane intersect? If so what's the point of intersection [2] -2x + y + 5z - 3 = 0 r = (-1,2,0) + (-3,0,2)t 22. Given the line 3x + 2y - 4 = 0 and the vector u = [1, -2] find the projection of u on to the line. [2]

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