4 ms·
No idea why OP found it interesting, but this really caught my eye: “Given the properties of bilinearity, orthogonality and magnitude, a nonzero cross product
by teucris 8y ago
No idea why OP found it interesting, but this really caught my eye:
“Given the properties of bilinearity, orthogonality and magnitude, a nonzero cross product exists only in three and seven dimensions.”
- isoprophlex 8y agoexactly this! these marvellous rarities are what makes mathematics so divinely interesting. why only 3 and 7? what's the relationship with quaternions and octonions? in a similar vein, https://en.m.wikipedia.org/wiki/Exceptional_object https://en.m.wikipedia.org/wiki/Exceptional_object