# Find parametric equations and symmetric equations for the line

by sonutulsiani
Tags: equations, line, parametric, symmetric
 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.
 P: 138 Is it 1+t, 1-t and t?
 PF Patron HW Helper Thanks P: 6,728 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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