do you mean that in the case that x-axis is in its original position the x and y axes are perpendicular and intersect, and in the case that the x-axis is in y = 0, z = 1 the x and y axes are perpendicular and doesn't intersect ?RUber said:The lines would be considered orthogonal, but that does not imply that they intersect.
Consider the x and y axes. The intersect in the plane z=0. But if you raise the x-axis to y=0, z=1, it will never intersect the y-axis defined by x=0, z=0.
mohamed el teir said:do you mean that in the case that x-axis is in its original position the x and y axes are perpendicular and intersect, and in the case that the x-axis is in y = 0, z = 1 the x and y axes are perpendicular and doesn't intersect ?
yes sort of that, if lines with perpendicular directions but the lines themselves are skew, are they considered perpendicular or not, so they are perpendicular, thank youRUber said:Yes. That was your question, right? If orthogonal lines must intersect or not.
Skew lines are two lines in three-dimensional space that are not parallel and do not intersect. They lie in different planes and have no common point of intersection.
To determine if two lines are skew, you can find the vector equation for each line and check if the direction vectors are not parallel and the lines do not intersect. Another method is to calculate the dot product of the direction vectors, and if it is equal to zero, then the lines are skew.
Skew lines and parallel lines are two types of non-intersecting lines. The main difference between them is that parallel lines lie in the same plane, while skew lines lie in different planes.
No, skew lines can never be perpendicular because perpendicular lines intersect at a 90-degree angle, and skew lines do not intersect at all.
Skew lines are used in various fields, such as engineering, architecture, and computer graphics. For example, they are used in 3D modeling to create realistic structures and objects. In civil engineering, the concept of skew lines is used to design roadways and bridges that need to intersect at an angle.