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
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.