The product of two real vectors in three dimensions that is itself a vector at right angles to both the original vectors. Its magnitude is the product of the magnitudes of the original vectors and the sine of the angle between their directions. Also called cross product. Compare with inner product.
- Written as a × b
- The vector product is, from the properties of determinants, linear in both its vector factors.
- We can use the direction perpendicular to this plane to give us the direction of our vector product.
- This shows that the vector product of two direct lattice vectors is easily expressed in terms of the basic reciprocal vectors.
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