A Cartesian vector can be thought of as representing magnitudes
along the x-, y-, and z-axes multiplied by a unit vector (i, j, k).
For such cases, the dot product of two of these fectors {a} and {b}
corresponds to the product of their magnitudes and the cosine of
the angle between their tails as in {a}⋅ {b} = abcos(theta)
The cross product yields another vector, {c} = {a} × {b} , which
is perpendicular to the plane defined by...