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Unformatted text preview: SIGN HERE: . Problem Points Score 1 25 2 25 3 25 4 25 Total 100 Relax! This exam is riddlefree. 1 1. (25) This question has fve parts. Suppose that a and b are nonzero vectors. Use dot and cross product notation to describe the Following. On this problem only, you need not show your work. a. The scalar projection oF a onto b . b. The vector projection oF a onto b . c. A unit vector orthogonal to both a and b . d. A vector oF length  a  in the direction oF b . e. The area oF the parallelogram determined by a and b . 2 2. (25) Find the distance from the point (1 , 1 , 3) to the plane de±ned by 3 x + 2 y + 6 z = 6. 3 3. (25) Find an equation for the line in which the planes 3 x6 y2 z = 15 and 2 x + y2 z = 5 intersect. 4 4. (25) Determine if the two lines below are parallel, intersecting, or skew. If the lines intersect, Fnd the point of intersection. L 1 : x = 3 t , y = 4t , z = 2 t L 2 : x = 7t , y = 2 t + 5, z =3 t 5 6...
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 Fall '08
 Keeran
 Calculus, Dot Product, FERPA, ferpa release, cross product notation

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