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Answer with explanation:

→Two lines in three dimensional plane are said to be Skew if they are neither parallel nor Intersecting.

→Skew lines can be drawn in three dimensional plane only.

→Drawn two skew lines in a Plane , and then drawn another line in a plane and found that , they are skew.

⇒Yes, it is possible to draw three lines in two planes such that all three lines are skew.

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MrRoyal

Skew lines are non-coplanar lines that are not parallel, and they do not intersect.

  • In a 2D plane, it is not possible to draw three skew lines
  • In a 3D plane, it is possible to draw three skew lines

The question does not state the type of plane. So, I will answer this question in 2 ways.

(a) 2D plane

Lines in 2D planes can only be drawn in a flat direction.

This means that, when three lines are drawn in the two planes, one of the following would happen.

  • The three lines would intersect
  • Two lines would intersect

See attachment for illustration

So, 3 lines in a 2D plane cannot be skewed lines

(b) 3D plane

Lines in 3D planes can only be drawn in several directions.

The above statement imply that:

Several lines can be drawn where none of the lines would be parallel and none of the lines would intersect.

This means that, when three lines are drawn in the two planes, one of the following would happen.

  • The three lines would intersect
  • Two lines would intersect
  • None of the lines would intersect

The third highlight means that:

It is possible to have skew lines in a 3D plane

Read more about skewed lines at:

https://brainly.com/question/1995934