• → Curl

Cross

Cross product (SymPy, WMA)

Cross[a, b]

computes the vector cross product of a and b.

Three-dimensional cross product:

• • Cross[{x1, y1, z1}, {x2, y2, z2}]

Cross is antisymmetric, so:

• • Cross[{x, y}]

Graph two-Dimensional cross product:

• • v1 = {1, Sqrt[3]}; v2 = Cross[v1]

Visualize this:

• • Graphics[{Arrow[{{0, 0}, v1}], Red, Arrow[{{0, 0}, v2}]}, Axes -> True]

• • Cross[{1, 2}, {3, 4, 5}]