Answered: Find an equation of the plane that…

Find an equation of the plane that passes through the given point and is perpendicular to the given vector or line. Point Perpendicular to (7, 6, 6) x − 1 12 = y + 6 = z + 7 −7

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 9E

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Question

Find an equation of the plane that passes through the given point and is perpendicular to the given vector or line.

Point

Perpendicular to

(7, 6, 6)

x − 1

= y + 6 =

z + 7

−7

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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