I want find a value M such that given(adsbygoogle = window.adsbygoogle || []).push({}); vandu, satisfies the equationv=Mu.

Well, the vectoruhas a modulus u and a direction α wrt x-axis; the vectorvhas another modulus v and another direction β wrt x-axis. What is happened is a change of magnitude and direction of the vectoru, therefore, M needs scalar the vector u and change its direction, so that:

$$\\ M = \frac{v}{u} \begin{bmatrix}

\;\;\;\cos(\beta-\alpha) & -\sin(\beta-\alpha)\\

+\sin(\beta-\alpha) & \;\;\;\cos(\beta-\alpha)\\

\end{bmatrix}$$

So: $$\\ \frac{\vec{v}}{\vec{u}} = M$$

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# Division between vectors

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