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Find parametric equations and symmetric equations for the line

by sonutulsiani
Tags: equations, line, parametric, symmetric
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Feb3-10, 07:05 PM
P: 138
1. The problem statement, all variables and given/known data

Find parametric equations and symmetric equations for the line through P0 and perpendicular to both given vectors. (P0 corresponds to t = 0.)
P0 = (1, 1, 0)
i + j and j + k

2. Relevant equations

3. The attempt at a solution

For the symmetric equations, I did this:

(i + j) x (j + k) = k - j + i = <1,-1,1>.

So, the symmetric equations are given by
(x - 1)/1 = (y - 1)/(-1) = (z - 0)/1.

I don't know how to find parametric equation.
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Feb3-10, 07:08 PM
P: 138
Is it 1+t, 1-t and t?
Feb3-10, 10:27 PM
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LCKurtz's Avatar
P: 7,720
Just set each fraction in your symmetric form equal to t and solve for x, y, and z, respectively. You should have x, y, and z in your equations with t.

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