(p1, 01), and v = (p2, 02) (p1 = lull , p2 = |vil. For example, i = (1, 0) can also be identified by p = 1,0 = 0. A "product" between vectors, less used than the dot product in two dimensions (its three-dimensional version is very important in physics, for example), is the "cross product", defined through the components of the vectors by ux v = ujv2 -u2v1 (note that it is anti-commutative: ux v = -v x u, in particular, u x u = 0). Using polar coordinates, show that u x v is equal to the product of the moduli (magnitudes) of the two vectors times the sine of the angle between them (measured from u to v), so that ju x v| is equal to the area of the parallelogram constructed from the two vectors