This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
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 nd the equation of the line, we need to use parametric equations. Parameterize x as x = t . Now, nd 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 satises 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...
View Full
Document
 Fall '10
 Impemba
 Algebra, Equations

Click to edit the document details