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Unformatted text preview: (a) a + ( b · c ) (b) a × b (c) u × v (d) a · ( v × w ) 2. (12 points) Let a = 2 i + j be a vector in R 2 . (a) Find a vector in R 2 the same direction as a that has length 3. (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 , 3 , − 1) and C (3 , , 0). Find its area. 4. (5 points) Find an equation for the plane through the point (2 , − 1 , 1) and is perpendicular to the vector a 1 , 1 , 2 A . Do NOT leave vectors in your answer. 5. (5 points) Find the distance from the point (1 , 2 , 3) to the plane whose equation is (2 i − 3 j + k ) · r = 3. (As usual r = a x,y,z A = x i + y j + z k .) 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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