Description
After working with Linear Algebra for a while, you start to forget that some small stuff doesn’t really make sense. The zigzaggy pattern is at first confusing but you’re told to rest assured. You can…
Summary
- Cross Product But for some mysterious reason, the cross product is only defined on ℝ³.
- 🤔 Consider that when you work with any sort of dataset you’re dealing with dimensions much larger than ℝ³, so why is that you see inner products all over deep learning code but not so much the cross product even though it does compute something useful.
- Area(a,b) = -Area(b,a) 2.
- Area(a, b + c) = Area(a,b) + Area(a,c) Now if we rename Area(a,b) to a ∧ b you’ll see how the Area of a parallelogram is just a special application of the wedge product a ∧ b =-b ∧ a 2.
- (