New posts in Cross Product

Is there a good (non-calculational) reason for the formula $|v \times w|^2 + (v \cdot w)^2 = (|v||w|)^2$?

Connection between cross product and determinant

Cross-product identity

The identity $(u\times v)\cdot(x\times y)=\begin{vmatrix}u\cdot x&v\cdot x\\ u\cdot y&v\cdot y\\\end{vmatrix}$

Angle between a vector and cross product of two vectors

Proving $(\bf x\times y\cdot N)\ z+(y\times z\cdot N)\ x+(z\times x \cdot N)\ y= 0$ when $\bf x,y,z$ are coplanar and $\bf N$ is a unit normal vector

Linear algebra: cross product property

Does SO(3) preserve the cross product?

Does Measurablity of Cuts imply Measurability in Product Space?

How might one actually prove, in a rigorous way, that the area of a parallelogram is given by the magnitude of the cross product?