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Unformatted text preview: (a) s + ( a w ) (b) a b (c) u v (d) ( a b ) c 2. (12 points) Let a = i + 2 j be a vector in R 2 . (a) Find a vector in R 2 the same direction as a that has length 2. (b) Find a nonzero vector in R 2 that is perpendicular to a . 3. (6 points) A triangle has vertices A ( 1 , , 1), B (0 , 2 , 1) and C (0 , , 4). Find its area. 4. (5 points) Find an equation for the plane through the point (1 , 2 , 1) which is perpendicular to the vector 2 i j + k . Do NOT leave vectors in your answer. 5. (5 points) Find the distance from the point (3 , 2 , 1) to the plane whose equation is a 1 , 2 , 3 A r = 2. (As usual r = x i + y j + z k = a x,y,z A .) END OF EXAM...
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This note was uploaded on 06/17/2009 for the course MATH 3412341 taught by Professor Staff during the Fall '06 term at UCSD.
 Fall '06
 staff
 Math, Calculus

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