Question #4095

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

Expert's answer

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|

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|

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