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.
How are sunrise and sunset defined? Sunrise is defined as the moment the top of the sun's disc first breaks the plane of the horizon in the morning, and sunset is when the top of the sun's disc sinks below the horizon in the evening.