MA 126 Midterm: MA126_Cal_II_Fall2014_Test1
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Closed book - calculators and one index card are allowed! 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. Limited partial credit is awarded for this part of the test! Find an equation of the sphere with center (1, 0, 1) that passes through the point (1, 1, 1). Find the angle between the vectors u =< 0, 1, 0 > and v =< 3, 1, 0 >. (write your angle in degrees or radians or leave it in terms of cos 1 = arccos!) Find the parametric equations of the line that is perpendicular to the plane 2x 3y 7z = 1 and passes through the point (1, 1, 2). 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.