Line AB is always skew to line CD as the two lines are in different planes.
Line AB will sometimes intersect line EF as the two planes intersect at some point.
We know that a plane represents a 2 dimensional surface in a 3 dimensional area.
- A plane is a two-dimensional, flat surface in mathematics that never ends. A plane is a point's (zero dimensions), a line's (one dimensions), and space's (three dimensions) two-dimensional equivalents.
- A plane may appear as a subspace of a higher-dimensional space, such as the indefinitely long wall of a room, or it may enjoy a separate status in and of itself, such as in the context of two-dimensional Euclidean space.
Now it is given that planes x and y are parallel to each other, therefore they will never intersect at any place.
Now two separate lines on these two separate planes will also not intersect with each other as they are on different planes and the ploanes do not meet.
Hence Line AB is always skew to line CD as the two lines are in different planes.
Again for Line AB it will intersect EF as the plane z intersects the plane x on which the line AB is located.
We know that the lines can still be skew lines but there is a possibility that they will meet.
Hence Line AB will sometimes intersect line EF as the two planes intersect at some point.
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