The quotient of these constructs can be defined using quaternions (kwa- TER-nee-uhns), and a linearly independent collection of these objects that spans a space forms a basis. These have tensor rank one, and operators named after these—also called differential operators—are represented by the del symbol. A triple product combining three of these is used to find the volume of a parallelepiped (paar-uh-LEL-luh-pai-ped); that triple product combines the two common methods of their multiplication, one of which is anticommutative and the other of wh
The quotient of these constructs can be defined using quaternions (kwa- TER-nee-uhns), and a linearly independent collection of these objects that spans a space forms a basis. These have tensor rank one, and operators named after these—also called differential operators—are represented by the del symbol. A triple product combining three of these is used to find the volume of a parallelepiped (paar-uh-LEL-luh-pai-ped); that triple product combines the two common methods of their multiplication, one of which is anticommutative and the other of which outputs a real number. Name these entities combined using dot or cross products, which represent a magnitude and a direction.
The quotient of these constructs can be defined using quaternions (kwa- TER-nee-uhns), and a linearly independent collection of these objects that spans a space forms a basis.