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Question

Find symmetric equations of a line normal to the plane containing the lines x2=y+12=z12x-2=\frac{y+1}{2}=\frac{z-1}{2} and x+1=y+83=z3x+1=\frac{y+8}{3}=\frac{z}{-3} at their point of intersection.

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The geometry of the figure is shown.

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