(a) To determine Calculate the single equation to describe the plane through the point ( 3 , − 1 , 2 ) perpendicular to the x -axis. Explanation The representation of point in Cartesian coordinate system is ( x , y , z ) . The plane passing through the point ( 3 , − 1 , 2 ) (b) To determine Calculate the single equation to describe the plane through the point ( 3 , − 1 , 2 ) perpendicular to the y -axis. (c) To determine Calculate the single equation to describe the plane through the point ( 3 , − 1 , 2 ) perpendicular to the z -axis.

Pearson eText for Thomas' Calculus: Early Transcendentals -- Instant Access (Pearson+)

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System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

Chapter 12.1, Problem 36E

(a)

To determine

Calculate the single equation to describe the plane through the point (3, −1, 2) perpendicular to the x-axis.

(b)

To determine

Calculate the single equation to describe the plane through the point (3, −1, 2) perpendicular to the y-axis.

(c)

To determine

Calculate the single equation to describe the plane through the point (3, −1, 2) perpendicular to the z-axis.

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Chapter 12.1, Problem 35E

Chapter 12.1, Problem 37E

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