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TA
Numerade Educator

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Problem 7 Easy Difficulty

Find parametric equations and symmetric equations for the line.

The line through the points $ (0, \frac{1}{2}, 1) $ and $ (2, 1, -3) $

Answer

$x=2+2 t, y=1+\frac{1}{2} t, z=-3-4 t$ $(x-2) / 2=2 y-2=(z+3) /(-4)$

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Video Transcript

So again we want to find the equation parametric and symmetric that process to the 0.0 half, one and 2. -3. And your Kodak again, this is my let's say. So this is what I fixed. And then we need to find B. This is just a difference or to zero one minus half -3 -1. Just to of management. So for the symmetric equation This is a 6 -0/2 is equal to one minus half over half Is G -1 over-. And then to find the parametric equation, I just equated to T. And then I just excess to T. Why equals to have deep plus half and G equals two minus 40 plus one. That's it.