Ratio between two vectors

Question

I'd like to know if in mathematics exist the ratio between two vectors. If yes, when is it used?

Thank you so much.

you can try $$\vec{a}=t\vec{b}$$ or $$\frac{|\vec{a}|}{|\vec{b}|}$$ — Dr. Sonnhard Graubner, Nov 11 '17 at 16:57

score 2 · Answer 1 · answered Nov 11 '17 at 16:58

If you're asking whether there is a commonly used general notion of dividing one vector by another, then no, there isn't one, for the simple reason that there isn't a common notion of multiplying one vector with anything to make a vector in a way that is invertible in the form of division.

score 1 · Accepted Answer · answered Nov 11 '17 at 16:58

1

Of course, but only if they are parallel:

If $\vec{AB}$ and $\vec{CD}$ are in the same direction then $${\vec{AB}\over \vec{CD}} := {\overline{AB}\over \overline{CD}}$$ else $${\vec{AB}\over \vec{CD}} := -{\overline{AB}\over \overline{CD}}$$

answered Nov 11 '17 at 16:58

nonuser

91,557

Ratio between two vectors

2 Answers2