Skew lines are two lines in three-dimensional space that do not intersect and are not parallel.
To find the shortest distance between two skew lines, you can use the formula d = |(P1 - P2) · n| / |n|, where P1 and P2 are two points on the lines, and n is the normal vector of one of the lines.
No, two skew lines cannot be parallel because parallel lines have the same slope, and skew lines do not have a slope since they do not intersect.
No, the shortest distance between two skew lines cannot be zero since they do not intersect and are not parallel.
Yes, finding the shortest distance between two skew lines has various applications in fields such as computer graphics, engineering, and physics, where it is used to calculate the distance between two moving objects or determine the closest approach between two paths.