Problem

Find parametric equations and symmetric equations…

01:57

Problem 8 Easy Difficulty

Find parametric equations and symmetric equations for the line.

The line through the points $ (1, 2.4, 4.6) $ and $ (2.6, 1.2, 0.3) $

Answer

$x=1+1.6 t, y=2.4-1.2 t, z=4.6-4.3 t ; \quad \frac{x-1}{1.6}=\frac{y-2.4}{-1.2}=\frac{z-4.6}{-4.3}$

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Video Transcript

Okay so now we want to find the Parliamentary Consumer integration again Dark process to the points one 2.4 4.6 and 2.6. 1.2 warranty. So again this is my I just fix it and then this is this is not Okay let's find the vector V. To where it is part pentagon. Again, this is just this guy minus to get this guy minus A. So this is 2.6 -1, 1.2 -2.4 And .3 -4.6. This is 1.6 -1.2 -3.3. Again for the symmetric This is X -1 over 1.6 Equals two, Y -2.4 Over -1.2 equals two. G -4.6 over -3.3. Yeah I want to do that then to find the parametric as a secret this guy to be And then this is X. is 1.60 plus one. Why is -1.2 G. And I still .4 And G. Question -3.3. T Last 4.6. That's it. There's nothing more to it.

Tattwamasi A.

Topics

Vectors

Calculus: Early Transcendentals

Chapter 12

Vectors and the Geometry of Space

Section 5

Equations of Lines and Planes

Problem