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The direction vector for the line that is parallel to the plane 2x + 3y - 4z + 8 = 0 would be m = [2,3,-4]. Three collinear points define a plane.

The direction vector for the line that is parallel to the plane 2x + 3y - 4z + 8 = 0 would be m = [2,3,-4]. Three collinear points define a plane.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 19EQ
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 True or false. Explain your reasoning. 
a) The direction vector for a vertical line would be ?⃑⃑⃑ = [1,0]
b) The direction vector for the line that is parallel to the plane 2? + 3? − 4? + 8 = 0
 would be ?⃑⃑⃑ = [2,3, −4].
c) Three collinear points define a plane. 

10. True or false. Explain your reasoning. a) The direction vector for a vertical line would be m = [1,0] b) The direction vector for the line that is parallel to the plane 2x + 3y - 4z + 8 = 0 would be m = [2,3,-4]. c) Three collinear points define a plane.
Transcribed Image Text:10. True or false. Explain your reasoning. a) The direction vector for a vertical line would be m = [1,0] b) The direction vector for the line that is parallel to the plane 2x + 3y - 4z + 8 = 0 would be m = [2,3,-4]. c) Three collinear points define a plane.
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