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Unformatted text preview: Version 066 DGQ08 gilbert (55485) 1 This printout should have 3 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. DONT FORGET TO BUBBLE IN YOUR EID AND YOUR VERSION NUMBER 001 10.0 points Find an equation for the plane passing through the origin and parallel to the plane 2 x + 3 y 5 z = 1 . 1. 3 x 5 y 3 z + 1 = 0 2. 2 x + 3 y 5 z = 0 correct 3. 2 x 3 y + 5 z + 1 = 0 4. 5 x + 2 y 3 z + 1 = 0 5. 5 x 2 y + 3 z = 0 6. 3 x + 5 y + 3 z = 0 Explanation: The scalar equation for the plane through P ( a, b, c ) with normal vector n = A i + B j + C k is A ( x a ) + B ( y b ) + C ( z c ) = 0 . But P ( a, b, c ) = (0 , , 0) if the plane passes through the origin, while n = 2 i + 3 j 5 k if the plane is parallel to 2 x + 3 y 5 z = 1 since parallel planes have the same normal vector....
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 Spring '07
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