Query: What is the cross product and why is it important?
Context: The cross product is a mathematical operation that takes two vectors and produces a third vector that is perpendicular to both of the input vectors. It is an important operation in mathematics and physics because it allows us to calculate the area of a parallelogram, the direction of a magnetic field, and the torque on an object. The cross product is also used in computer graphics to calculate the normal vector to a surface and the direction of a camera. By understanding the cross product and its applications, we can solve a wide range of problems in science, engineering, and computer graphics.