In coordinate space, $A = (6,-7,7),$ $B = (16,-17,12),$ $C = (0,3,-6),$ and $D = (2,-5,10).$  Find the intersection point of lines $AB$ and $CD.$
Question:
In coordinate space, $A = (6,-7,7),$ $B = (16,-17,12),$ $C = (0,3,-6),$ and $D = (2,-5,10).$  Find the intersection point of lines $AB$ and $CD.$
Answer:
Let's think step by step.

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\left( \frac{4}{3}, -\frac{7}{3}, \frac{14}{3} \right)
In coordinate space, $A = (6,-7,7),$ $B = (16,-17,12),$ $C = (0,3,-6),$ and $D = (2,-5,10).$  Find the intersection point of lines $AB$ and $CD.$
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