cross product

Noun

Meaning

a vector that is the product of two other vectors

Synonyms

Hypernyms

Examples

Any force directed parallel to the particle's position vector does not produce a torque. citation It follows from the properties of the cross product that the torque vector is perpendicular to both the position and force vectors. Source: Internet

As the cross product of a finite number of compact convex sets, is also compact and convex. Source: Internet

An illustration of the cross product The cross product a × b is defined so that a, b, and a × b also becomes a right-handed system (but note that a and b are not necessarily orthogonal ). Source: Internet

Clifford simplified the quaternion study by isolating the dot product and cross product of two vectors from the complete quaternion product. Source: Internet

Commutator and cross product The commutator of two octonions x and y is given by : This is antisymmetric and imaginary. Source: Internet

For example, : Relation to dot and cross product Pauli vectors elegantly map these commutation and anticommutation relations to corresponding vector products. Source: Internet

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