Find parametric equations and symmetric equations for the line

sonutulsiani

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.

sonutulsiani

Is it 1+t, 1-t and t?

LCKurtz

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.