MA 126 Final: 2-12f-Final exam
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Clearly write your answer (only) in the space provided after each question. You need not show your work for this part of the exam. No partial credit is awarded for this part of the exam! Use vectors to decide whether the triangle with vertices p (1, 0, 1), q(1, 0, 0), and r(2, 3, 0) is right-angled. Find the area of the parallelogram generated by the vectors u =< 1, 3, 1 > and v =< 1, 0, 1 >. Find the parametric equations of the line that passes through the point p (1, 2, 1) and is parallel to the vector v =< 2, 5, 3 >. Find an equation of the plane that passes through the point p (1, 1, 0) and is perpendicular (normal) to the line with symmetric equations x 1. Use the fundamental theorem of calculus to nd the derivative of the function g(x) = z x.