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r=<3,3,0>+t<3,-3,1> r=<6,0,1>+s<-3,3,0> find a point at which the given lines intersect

Mathematics
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Try translating the two equations into their component forms, like this: \[<3,3,0>+t<3,-3,1> becomes x _{1}=3+3t, y _{1}=3-3t... etc.\] do that to both equations and then equate (that is set equal) the x, y, and z terms from each r equation. That may give you a start.
Sorry about the equation cut-off, my first few posts here... so not used to it yet. Anyways that process will give you 3 equations in 2 unknowns to solve.

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