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The parametrization of a straight line in 3D space is given by r = [x y z] = CT, were T = [t 1], and C = [1 1;11;1 1], and t ranges from 0 to 1.

The parametrization of a straight line in 3D space is given by r = [x y z] = CT, were T = [t 1], and C = [1 1;11;1 1], and t ranges from 0 to 1.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The parametrization of a straight line in 3D space is given by r = [x y z]t = CT, were T = [t 1], and C = [1 1;11;1 1], and t ranges from 0 to 1. Select all the true alternatives from the following list. a. t is a scalar. b.r is a vector in either 2-dimensional or 3-dimensional space, but it cannot be 1-dimensional. c. The projection of the line on the x-y plane makes an angle of 45 degrees with respect to the x direction. d. The projection of the line on the x-z plane makes an angle of 45 degrees with respect to the x direction.
Transcribed Image Text:The parametrization of a straight line in 3D space is given by r = [x y z]t = CT, were T = [t 1], and C = [1 1;11;1 1], and t ranges from 0 to 1. Select all the true alternatives from the following list. a. t is a scalar. b.r is a vector in either 2-dimensional or 3-dimensional space, but it cannot be 1-dimensional. c. The projection of the line on the x-y plane makes an angle of 45 degrees with respect to the x direction. d. The projection of the line on the x-z plane makes an angle of 45 degrees with respect to the x direction.
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