4. (a) Write an equation for the line in R³ that passes through the points (1, −2,1) and (2, 3, −1). (b) Find the plane that passes through the point (1,3, −7) and is orthogonal to the line from (a). (c) What is the distance from the origin to the plane from (c)?

4. (a) Write an equation for the line in R³ that passes through the points (1, −2,1) and (2, 3, −1). (b) Find the plane that passes through the point (1,3, −7) and is orthogonal to the line from (a). (c) What is the distance from the origin to the plane from (c)?

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter8: Polar Coordinates And Parametric Equations

Section8.CT: Chapter Test

Problem 8CT

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Question

4.
(a) Write an equation for the line in R³ that passes through the points (1, −2,1) and
(2, 3, −1).
(b) Find the plane that passes through the point (1,3, −7) and is orthogonal to the line from (a).
(c) What is the distance from the origin to the plane from (c)?

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