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B) Find the equation of the plane containing points A, B, and C using a vector approach (from chapter 11).

B) Find the equation of the plane containing points A, B, and C using a vector approach (from chapter 11).

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Given the points in space, A = (4,2,– 3), B = (-2,5,1), and C = (5,1,– 2) A) Find a parametric set of equations for the line through point A parallel to the line through points B and C. B) Find the equation of the plane containing points A, B, and C using a vector approach (from chapter 11). C) Find the coordinates of a point on the plane other than A, B, or C which does not lie on a coordinate axis. (no 0 coordinates)
Transcribed Image Text:Given the points in space, A = (4,2,– 3), B = (-2,5,1), and C = (5,1,– 2) A) Find a parametric set of equations for the line through point A parallel to the line through points B and C. B) Find the equation of the plane containing points A, B, and C using a vector approach (from chapter 11). C) Find the coordinates of a point on the plane other than A, B, or C which does not lie on a coordinate axis. (no 0 coordinates)
Expert Solution
Step 1

(B)

Given:

The points in space are A=4,2,-3, B=-2,5,1 and C=5,1,-2.

Introduction:

A plane is a flat, two-dimensional surface that extends infinitely far. A plane is the two-dimensional analog of a point.

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