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icystrike
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Homework Statement
What are the steps involved in it?
I have my own way of doing it but I'm just curious to know how it is usually done.
Homework Equations
The Attempt at a Solution
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The formula for finding the distance between two parallel lines in 3-Dimensional Space is the distance formula, which is the square root of the sum of the squares of the differences between corresponding coordinates on the two lines.
If the two parallel lines have the same direction and are located in the same plane, then they are coincident and have a distance of 0 between them. This can be determined by checking if the direction vectors of the lines are parallel and if the distance between any two points on the lines is 0.
No, the distance between two parallel lines in 3-Dimensional Space is always positive as it is the length of the shortest line segment connecting the two lines.
The distance between two parallel lines in 3-Dimensional Space will remain the same if one of the lines is translated or rotated, as long as the lines remain parallel and do not intersect.
No, the distance between two parallel lines in 3-Dimensional Space is always constant, while the distance between two skew lines can vary along their lengths.