30% off all books with the code: BOOKS
  • check 10+ million books
  • check New arrivals every day
  • check Trusted by 1M+ customers
  • check Great prices & discounts
  • check Shipping across Europe

Skew Lines: Solid Geometry, Parallel (Geometry), Coplanar, Degeneracy (Mathematics), Dimension, Regular Tetrahedron -

English
2026-03-17
€127.50 €182.14

-30% with code BOOKS

In stock at our supplier

Shipping in 15-21 days

30-day return policy

High Quality Content by WIKIPEDIA articles! If each line in a pair of skew lines is defined by two points, then these four points must not be coplanar, so they must be the vertices of a tetrahedron of nonzero volume; conversely, any two pairs of points defining a tetrahedron of nonzero volume also define a pair of skew lines. Therefore, a test of whether two pairs of points (a,b) and (c,d) define skew lines ... Full description

You May Also Like

Description

High Quality Content by WIKIPEDIA articles! If each line in a pair of skew lines is defined by two points, then these four points must not be coplanar, so they must be the vertices of a tetrahedron of nonzero volume; conversely, any two pairs of points defining a tetrahedron of nonzero volume also define a pair of skew lines. Therefore, a test of whether two pairs of points (a,b) and (c,d) define skew lines is to apply the formula for the volume of a tetrahedron, V = (1/6)·|det(a¿b, b¿c, c¿d)|, and testing whether the result is nonzero. If four points are chosen at random within a unit cube, they will almost surely define a pair of skew lines, because (after the first three points have been chosen) the fourth point will define a non-skew line if, and only if, it is coplanar with the first three points, and the plane through the first three points forms a subset of measure zero of the cube.

More Information

Publisher OmniScriptum
Release year 2026
Cover type Softcover
EAN 9786131165283
Write Your Own Review
You're reviewing: Skew Lines: Solid Geometry, Parallel (Geometry), Coplanar, Degeneracy (Mathematics), Dimension, Regular Tetrahedron
Your Rating:

Goodreads Reviews

€127.50 €182.14