Answer to Question #4095 in Mechanics | Relativity for moithilee bhattacherjee

Question

For determining the area of a cube, why do we use cross product and not dot product?

Answer 1

The area of a square, not a cube.
The magnitude of the cross product can be evaluated as the area of the parallelogram with side a. The area of the cube is the sum of 6 square areas, i.e 6 cross products
The volume of the cube is a ˙ |a × a|