Is it possible ᴛʜᴀᴛ ᴛᴡᴏ intersecting ʟɪɴᴇꜱ ᴀʀᴇ ᴄᴏᴩʟᴀɴᴀʀ?
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Answer:
Two intersecting lines are always coplanar. Each line exists in many planes, but the fact that the two intersect means they share at least one plane. They can be coplanar on the same horizontal plane, for example, but not be on the same vertical plane.
Two intersecting lines are always coplanar.
Two intersecting lines are always coplanar.Each line exists in many planes, but the fact that the two intersect means they share at least one plane. The two lines will not always share all planes, though. They can be coplanar on the same horizontal plane, for example, but not be on the same vertical plane.
Two intersecting lines are always coplanar.Each line exists in many planes, but the fact that the two intersect means they share at least one plane. The two lines will not always share all planes, though. They can be coplanar on the same horizontal plane, for example, but not be on the same vertical plane.Correspondingly, do intersecting lines have to be coplanar?
Two intersecting lines are always coplanar.Each line exists in many planes, but the fact that the two intersect means they share at least one plane. The two lines will not always share all planes, though. They can be coplanar on the same horizontal plane, for example, but not be on the same vertical plane.Correspondingly, do intersecting lines have to be coplanar?Intersecting: The two lines are coplanar (meaning that they lie on the same plane) and intersect at a single point. 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.
Two intersecting lines are always coplanar.Each line exists in many planes, but the fact that the two intersect means they share at least one plane. The two lines will not always share all planes, though. They can be coplanar on the same horizontal plane, for example, but not be on the same vertical plane.Correspondingly, do intersecting lines have to be coplanar?Intersecting: The two lines are coplanar (meaning that they lie on the same plane) and intersect at a single point. 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.Likewise, what are two coplanar lines that dont intersect? Two lines are parallel lines if they are coplanar and do not intersect. Lines that are not coplanar and do not intersect are called skew lines. Two planes that do not intersect are called parallel planes.
Two intersecting lines are always coplanar.Each line exists in many planes, but the fact that the two intersect means they share at least one plane. The two lines will not always share all planes, though. They can be coplanar on the same horizontal plane, for example, but not be on the same vertical plane.Correspondingly, do intersecting lines have to be coplanar?Intersecting: The two lines are coplanar (meaning that they lie on the same plane) and intersect at a single point. 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.Likewise, what are two coplanar lines that dont intersect? Two lines are parallel lines if they are coplanar and do not intersect. Lines that are not coplanar and do not intersect are called skew lines. Two planes that do not intersect are called parallel planes.For two intersecting non-coplanar lines, take the point of intersection, and one other point on each line. Because the lines intersect, the three points are not colinear. That means each line has two points in that plane, so each line is in that plane, therefore they are coplanar.
Two intersecting lines are always coplanar.Each line exists in many planes, but the fact that the two intersect means they share at least one plane. The two lines will not always share all planes, though. They can be coplanar on the same horizontal plane, for example, but not be on the same vertical plane.Correspondingly, do intersecting lines have to be coplanar?Intersecting: The two lines are coplanar (meaning that they lie on the same plane) and intersect at a single point. 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.Likewise, what are two coplanar lines that dont intersect? Two lines are parallel lines if they are coplanar and do not intersect. Lines that are not coplanar and do not intersect are called skew lines. Two planes that do not intersect are called parallel planes.For two intersecting non-coplanar lines, take the point of intersection, and one other point on each line. Because the lines intersect, the three points are not colinear. That means each line has two points in that plane, so each line is in that plane, therefore they are coplanar.If the lines are coplanar, they either intersect (in a single point), or are the same line (colinear) or are parallel (no intersection). If you know they intersect (perhaps from the context of the question), you can immediately look for the single point.
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