Suppose I have a gradient vector \begin{bmatrix} x_{1} \ \frac{cm}{s} \\ x_{2}\ \frac{^{\circ}}{s} \\ \end{bmatrix} where $x_1$ is given in cm per second while $x_2$ is given in degrees per second. If I normalize this vector by dividing both elements by $\sqrt{x_1^2 +x_2^2}$, would it still point towards the maximum of the function?
2026-03-30 02:58:54.1774839534
Can I normalize a gradient vector where each dimension has a different unit?
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