determine if the lines in each pair intersect. if so, find the coordinates of the point of intersection.
[x,y,z]=[6,5,-14]+s[-1,1,3]
[x,y,z]=[11,0,-17]+t[4,-1,-6]

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Rewrite it as a linear system of equations and solve.

They need not be parallel. This is 3-space not 2-space

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