Lines Ac And Rs Are Coplanar. Parallel. Perpendicular. Skew. (2024)

FAQs

Lines Ac And Rs Are Coplanar. Parallel. Perpendicular. Skew.? ›

The correct option is Option D: Line AC and RS are skew lines.

Skew lines are a pair of lines that do not intersect and are not parallel to each other. Skew lines can only exist in dimensions higher than 2D space. They have to be non-coplanar meaning that such lines exist in different planes. In two-dimensional space, two lines can either be intersecting or parallel to each other.

The difference between parallel lines and skew lines is parallel lines lie in the same plane while skew lines lie in different planes. A line is said to be perpendicular to another line if the two lines intersect at a right angle.

Parallel: The two lines are coplanar but never intersect because they travel through different points, while their direction vectors are scalar multiples of one another. Skew: The two lines are not coplanar but instead lie on parallel planes. This means they will never cross and do not have similar direction vectors.

Two parallel lines are ALWAYS coplanar. By definition, parallel lines are two coplanar lines that never intersect. Therefore, parallel lines are always coplanar.

In three-dimensional geometry, skew lines are two lines that do not intersect and are not parallel. A simple example of a pair of skew lines is the pair of lines through opposite edges of a regular tetrahedron.

When lines are not parallel, and they do not intersect, such lines are said to be skewed. Line AC and RS are skew lines because: they lie in different planes and will never intersect.

Expert-Verified Answer

Perpendicular lines are always coplanar. perpendicular lines (i.e lines at right angle to each other), they are always coplanar. This is because they are drawn on the same plane.

We can observe many perpendicular lines in real life. Some examples are: the sides of a set square, the arms of a clock, the corners of the blackboard, window and the Red Cross symbol. Here are a few more examples!

Coplanar lines are lines that lie on the same plane. Picture a giant sheet of paper. Whatever lines are drawn on that sheet of paper will be coplanar because they are lying on the same plane, or the same flat surface.

What is a perpendicular in geometry? ›

What is Perpendicular? In Mathematics, a perpendicular is defined as a straight line that makes the right angle (90 degrees) with the other line. In other words, if two lines intersect each other at the right angle, then the lines are perpendicular to each other.

Skew lines are lines that are in different planes and never intersect. They are different from parallel lines because parallel lines lie in the SAME plane.

Of course not. Lines are only perpendicular if their angle of intersection is 90 degrees or Pi/2 radians. A line is said to be perpendicular to another line if the two lines intersect at a right angle.

Skew lines are defined as a pair of lines that are not parallel to one another and do not intersect with one another. Skew lines are only possible in spaces with dimensions greater than two-dimensionality. They have to be non-coplanar, which means that parallel lines must be found in more than one plane.

Answer: They lie in different planes and will never intersect.

Choose any three skew lines in space. That means no two of them are parallel, and no two of them intersect. The set of lines meeting those three lines is called a regulus. The three skew lines all lie on a hyperboloid of one sheet, and so do the lines in the regulus.