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Unformatted text preview: x . What is the set of points described by this solution? (e) The equations you found in parts (b), (c), and (d) are the projecting planes of the line of intersection of the two planes. To ﬁnd the equation of the line, we need to use parametric equations. Parameterize x as x = t . Now, ﬁnd the parametric equations for y and z by solving the following system of equations for y and z in terms of t : ( t + y + 3 z = 9 2 t + y + 2 z = 10 (f) In the previous part, you found the parametric equations of the line of intersection. Find two points on this line. Show that each point satisﬁes the equations of both planes. 1 4. Find the equations of the planes containing the following points: (a) (1, 1, 2), (0, 1, 1), and (3, 2, 5) (b) (1, 1, 3), (0, 1, 1), and (1, 0, 2) (c) (1, 1, 2), (4, 0, 0), and (1, 1, 4) (d) (1, 0, 3), (1, 7, 3), and (1, 1, 4) 2...
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 Fall '10
 Impemba
 Algebra, Equations, Elementary algebra, Parametric equation, Mr. Petach

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