tripleProduct MethodStatic

Returns Returns the triple product of 3 vectors provided as x,y,z number sequences.

• The triple product is the determinant of the 3x3 matrix with the 9 numbers (3 vectors placed in 3 rows).
• The triple product is positive if the 3 vectors form a right handed coordinate system.
• The triple product is negative if the 3 vectors form a left handed coordinate system.
• Treating the 9 numbers as 3 vectors U, V, W, any of these formulas gives the same result:
  • U dot (V cross W)
  • V dot (W cross U)
  • W dot (U cross V)
  • (-U dot (W cross V)) -- (note the negative -- reversing cross product order changes the sign)
  • (-V dot (U cross W)) -- (note the negative -- reversing cross product order changes the sign)
  • (-W dot (V cross U)) -- (note the negative -- reversing cross product order changes the sign)
• the triple product is 6 times the (signed) volume of the tetrahedron with the three vectors as edges from a common vertex.

tripleProduct(ux: number, uy: number, uz: number, vx: number, vy: number, vz: number, wx: number, wy: number, wz: number): number

Returns - number

Defined in

• Geometry.ts Line 533

Last Updated: 20 June, 2023