Question
The distance between the parallel lines is _______.
- 5.5 cm
- 3 cm
- 3.2 cm
- 4 cm
Hint:
In 3D space, two lines can either intersect each other at some point, parallel to each other or they can neither be intersecting nor parallel to each other also known as skew lines.
- In the case of intersecting lines the shortest distance between them is 0.
- In general, the shortest distance between two parallel lines is the length of a perpendicular segment between them. There are infinitely many perpendicular segments between two parallel lines, but they will all be the same length. Remember that distances are always positive!
- In the case of skew lines, the shortest distance is the line perpendicular to both of the given lines.
The correct answer is: 3 cm
Here, m
n and AB 
n joining the lines m and n
By theorem : In general, the shortest distance between two parallel lines is the length of a perpendicular segment between them. There are infinitely many perpendicular segments between two parallel lines, but they will all be the same length. Remember that distances are always positive!
Since AB n , the distance between m and n will be equal to the length of AB.
Hence, the distance between lines m and n is 3 cm.
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