up vote 1 down vote. 2D cross products are more properly called 2d wedge products. Wedge products generalize to other dimensions, but cross products are always 3d wedge products. The usual operator symbol for a wedge product is ^ . You can use 2d wedge products to determine if one vector is to the left or the right of another one. If vector A is to the right of vector B, then, if A is to the left. If they are parallel or either of them is 0, then A ^ B = 0. In vector graphics, 2d wedge products can be used to analyze the intersection of 2 parametrized curves, e.g. for removing portions of one curve that lies to the right of another.
Definition of morning star for Students. : a bright planet (as Venus) seen in the eastern sky before or at sunrise.
This is when Venus is seen as the Evening Star. When Venus is on the other side of the Sun, it leads the Sun as it travels across the sky. Venus will rise in the morning a few hours before the Sun. Then as the Sun rises, the sky brightens and Venus fades away in the daytime sky. This is Venus the Morning Star. The ancient Greeks and Egyptians thought that Venus was actually two separate objects, a morning star and an evening star.