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Find the separation of two parallel lines

Given the two lines l1:4(1−x)=y=2z+4l_1:4(1-x)=y=2z+4 and l2:8−4x=y+3=2zl_2:8-4x=y+3=2z, explain why they are parallel. Find the distance between the two lines.

CJC · Discussion · Question 6

Use a displacement joining one point on each line and remove its component along the common direction.

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