Skew Lines - Distance Between Two Skew Lines

Distance Between Two Skew Lines

To calculate the distance between two skew lines the lines are expressed using vectors,

.

The cross product of b and d is perpendicular to the lines, as is the unit vector

(if |b × d| is zero the lines are parallel and this method cannot be used). The distance between the lines is then

.

Read more about this topic:  Skew Lines

Famous quotes containing the words distance and/or lines:

    “It is painful to recall a past intensity, to estimate your distance from the Belsen heap, to make your peace with numbers. Just to get up each morning is to make a kind of peace.”
    —Leonard Cohen (b. 1934)

    “I have a new method of poetry. All you got to do is look over your notebooks ... or lay down on a couch, and think of anything that comes into your head, especially the miseries.... Then arrange in lines of two, three or four words each, don’t bother about sentences, in sections of two, three or four lines each.”
    —Allen Ginsberg (b. 1926)