MA 126 Midterm: 2-11f-test1

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31 Jan 2019
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Clearly write your answer (only) in the space provided after each question. You do not need not to show your work for this part of the test. No partial credit is awarded for this part of the test! Find the equation of the sphere with center (1, 0, 1) that passes through the point (1, 2, 1). Find the angle between the vectors u =< 0, 0, 1 > and v =< 3, 0, 1 >. Find the symmetric equations of the line through the point (1, 1, 2) and parallel to the vector u =< 1, 1, 1 >. Find an equation of the plane that contains both the point p (1, 1, 1) and the vectors u = h0, 1, 1i and v = h1, 1, 0i. Find the point of intersection of the plane x+ y z = 1 and the line given by the parametric equations.

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