Find sets of parametric equations and symmetric equations of the line that passes through the two points (if possible). (Foreach line, write the direction numbers as integers.)-2 2(5, -3, -2),(a) parametric equations (Enter your answers as a comma-separated list.)2t- 3+32t- 2 +t3'5(b) symmetric equationsX-5y - 3%3D15115 - xy + 3z + 2=1711yz + 2%3D17115 - xz + 2= V =17

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Answered: Find sets of parametric equations and…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Vectors In Two And Three Dimensions

Section9.6: Equations Of Lines And Planes

Problem 35E

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When finding parametric equations for the line of intersection of two given planes, how do we use two equations (one from each plane) and three unknowns to have a free variable and parameterize the line of intersection? Please do an example with planes x + y + z = 1 and x + 2y + 2z = 1, and explain each step carefully and use typefont. Thank you!
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