state all 7 properties of cross products
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Answer:
Properties of the Cross Product:
- The length of the cross product of two vectors is
- The length of the cross product of two vectors is equal to the area of the parallelogram determined by the two vectors (see figure below).
- Anticommutativity:
- Multiplication by scalars:
- Distributivity:
- The scalar triple product of the vectors a, b, and c:
- The volume of the parallelepiped determined by the vectors a, b, and c is the magnitude of their scalar triple product.
- The vector triple product of the vectors a, b, and c:
Explanation:
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