Th lines formed by $(0,0,0)+ \lambda(1,1,1)$ and $(0,6,0)+ \lambda(0,-3,2)$ ever intersect? It seems like the do but they don't. How do I show this algebraically?
2026-03-27 01:42:16.1774575736
Do these lines in 3D space intersect?
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The point of intersection should be a point on both $(t,t,t)$ and $(0,6-3s,2s)$
Solving for equality we get $t=0, t=6-3s, t=2s$ which is inconsistent,so there is not point of intersection.