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Unformatted text preview: 1. 2. 4 Defn. Equation of a plane Given a point P ( x , y , z ) on the plane and a vector ~n = < a, b, c > normal to the plane, the equation of the plane is OR Example 1 Find the equation of the plane through P (4 , , 6) normal to ~n = <1 , 7 , 3 > . Example 2 Find the equation of the plane through the origin which contains the line x = 2 + t y =1 z =2 t. 5 Example 3 Find the equation of the plane through the points P,Q,R. Example 4 Find the equation of the line formed from the intersection of 3 x6 y2 z = 3 and 2 x + y2 z = 2. 6...
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 Spring '03
 MECothren
 Equations, Multivariable Calculus, Parametric Equations, Euclidean geometry, Parametric equation

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