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Unformatted text preview: The plane passes through Q and is orthogonal to the intersection line with a direction vector ~u : ( x-5)-5( y-2)-2( z-1) = 0 or x-5 y-2 z + 7 = 0 . To nd the distance we choose a point on 2 x + z = 10: for example, P (5 , , 0). Then P ~ Q = h , 2 , 1 i ,P ~ Q ~ b = 1 and the distance d = | comp ~ b P ~ Q | = 1 5 , where ~ b = h 2 , , 1 i is an orthogonal vector to 2 x + z = 10. 3...
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