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A vector whose elements are complex numbers.

An orthogonal projection of a cross onto a three-dimensional subspace. It is said to be normalized if the cross vectors are all of unit length.

A flow line for a map on a vector field F is a path sigma(t) such that sigma^'(t)=F(sigma(t)).

The vectors +/-a_1, ..., +/-a_n in a three-space form a normalized eutactic star iff Tx=x for all x in the three-space.

A vector field v for which the curl vanishes, del xv=0.

The jerk j is defined as the time derivative of the vector acceleration a, j=(da)/(dt).

Unit vectors which are orthogonal are said to be orthonormal.

Two vectors u and v are parallel if their cross product is zero, i.e., uxv=0.

A 1×n matrix [a_(11) a_(12) ... a_(1n)].

The scalar |v|=ds/dt, where s is the arc length, equal to the magnitude of the velocity v.