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Copy and complete: Two lines that do not intersect and are not coplanar are called__?

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Copy and complete: Two lines that do not intersect and are not coplanar are called __?

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Solution

Two lines that do not intersect and are not coplanar are called skew lines.

Skew lines are a fundamental concept in geometry and are particularly important in the study of three-dimensional space. Unlike parallel lines, which remain equidistant and lie in the same plane, skew lines exist in different planes and cannot be intersected by a straight line, which means they do not meet at any point. This characteristic of skew lines is crucial in various fields such as architecture, engineering, and physics, where understanding spatial relationships is essential.

To visualize skew lines, imagine a pair of long, thin rods that are not parallel and do not lie flat on the same surface; instead, they twist and turn in different directions, creating a three-dimensional configuration that demonstrates the unique properties of skew lines.

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