MATH 126 Midterm: MATH 126 UW Midterm 1 Spring 12bekyelExIans
Document Summary
Math 126, sections d and f, spring 2012, solutions to midterm i: the following questions regard the parallelpiped shown below. the gure is not to scale. The following vectors are known: ac = 0, 5, 2 , ad = 14, 3, 7 and ab = 1, 3, 4 . (a) (4 points) compute the vector cd and the angle between ac and cd . so. Cd = 14, 3, 7 0, 5, 2 = 14, 2, 5 . Ac cd = 0, 5, 2 14, 2, 5 = 0 10 + 10 = 0 so the angle is /2. (b) (4 points) compute the area of the triangle with vertices a, c and d. Since the triangle is a right triangle the area is. 2 (c) (3 points) if the point a is at (2, 1, 0), nd the coordinates of the point y .
