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What are Skew Lines?

Definition: Skew lines

Summary

  1. A is the plane that is the front of the box, C is the plane that is the back of the box, and B and D are the planes on the sides of the box
  2. The line 'l' is in planes A and B
  3. The line 'm' is in planes C and D
  4. Since line 'l' and line 'm' don't share a plane and don't intersect, they are skew lines
  5. Line 'p' is in planes A and D
  6. Line 'p' and line 'l' are both in plane A, but they never intersect
  7. So line 'p' and line 'l' are parallel lines

Notes

    1. A is the plane that is the front of the box, C is the plane that is the back of the box, and B and D are the planes on the sides of the box
    2. The line 'l' is in planes A and B
    3. The line 'm' is in planes C and D
    1. The line 'l' is in planes A and B
    2. The line 'm' is in planes C and D
    1. This means that if you extend them out forever they will never cross
    1. Lines 'l' and 'p' both lie in plane A, but they will never cross
    2. Lines 'm' and 'p' both lie in plane D, but they DO cross
    1. Lines 'l' and 'p' both lie in plane A, but they will never cross
    2. Remember, skew lines do not share a plane
    3. So since lines 'l' and 'p' are both in plane A, they are parallel