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Unformatted text preview: The plane passes through Q and is orthogonal to the intersection line with a direction vector ~u : ( x5)5( y2)2( z1) = 0 or x5 y2 z + 7 = 0 . To ﬁnd 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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 '07
 KAMIENNY
 Math, Calculus, Vectors, direction vector, intersection line

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