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 between two, distance and/or lines:

    For time is the longest distance between two places.
    Tennessee Williams (1914–1983)

    By sharing the information and observations with the caregiver, you have a chance to see your child through another pair of eyes. Because she has some distance and objectivity, a caregiver often sees things that a parent’s total involvement with her child doesn’t allow.
    Amy Laura Dombro (20th century)

    I struck the board, and cried, ‘No more,
    I will abroad!
    What? shall I ever sigh and pine?
    My lines and life are free, free as the road,
    Loose as the wind, as large as store.
    Shall I be still in suit?
    George Herbert (1593–1633)