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Shortest distance between two parallel l...

Shortest distance between two parallel lines in vector + cartesian form

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Statement 1: The shortest distance between the lines x/2=y/(-1)=z/2 and (x-1)/(-2)=(y-1)/-2=(z-1)/4 is sqrt(2) . Statement 2: The shortest distance between two parallel lines is the perpendicular distance from any point on one of the lines to the other line.

Statement 1: The shortest distance between the lines x/2=y/(-1)=z/2 and (x-1)/(4)=(y-1)/-2=(z-1)/4 is sqrt(2) . Statement 2: The shortest distance between two parallel lines is the perpendicular distance from any point on one of the lines to the other line.

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The distance between two parallel lines can be taken out by the formula

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