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Q8 - Version 066 – DGQ08 – gilbert –(55485 1 This...

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Unformatted text preview: Version 066 – DGQ08 – gilbert – (55485) 1 This print-out should have 3 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. DON’T 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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Q8 - Version 066 – DGQ08 – gilbert –(55485 1 This...

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