TopSkew lines are defined as, when two non-parallel lines which is present in the space that do not intersect each other are known as skew lines. It is not necessary that the intersect lines are parallel to each other. These lines are also non coplanar.
Configuration of skew lines is defined as the Set of lines in which all the given pair are skewed. When there are two configurations given, these configurations are said to be isotopic when it is possible to transfer one configuration into other configuration.
Calculate the distance between the two skew lines. Let us now see what are skew lines?
To calculate the distance between two skew lines, the lines are defined by using the vectors
x = a + ⋋b,
y = c + ud,
And the cross product of the variable ‘b’ and ‘d’ is perpendicular to the lines, as it is said to be unit vector.
n = b X d,
|b X d|
When value of |b X d| is zero then the lines are parallel and this method rejected, cannot be used. Then the distance between the two lines is given by,
d = |n. (c – a)|,
Skew lines on the three dimensional objects are not parallel. The two lines which have no Intersection between the points but it is not parallel to each other is also known as agonic lines. By this statement we can say that the two lines present in the plane must be intersect or be parallel. Skew lines are the lines which exist only in three or more dimensions. The two lines have the equations:
m = m1 + (m2 - m1) s,
m = m3 + (m4 – m3) t,
The given equations of lines are skew lines if the solution of these given equation is not equal to zero.
(m1– m3). [(m2 – m1) X (m4 – m3)] ≠ 0.