Solving a differential equation $\displaystyle \frac{d \alpha}{dt}=w \times\alpha$ Let $\alpha$ be a regular curve in $\mathbb{R}^3$ such that $\displaystyle \frac{d \alpha}{dt}=w \times\alpha$ for $w$ a constant vector. How can we determine $\alpha$ ?
$\displaystyle w \times\alpha$  : cross product
Any hint would be appreciated.

You can write $w\times\alpha$ as $\Omega\alpha$, where $\Omega$ is an (antisymmetric) matrix. Then the problem reduces to a linear ODE.
