I'm getting stuck with a part of my math exercise where I have to demonstrate the colinearity of two vectors without using the coordinates.
Note: All the vectors I will show will not have their arrow on top of them because I don't know how to do it in stack exchange.
MN = AC + 1/2 AB
MP = 4/3 AC + 2/3 AB
How to prove that vector MN and vector MP are colinear?
I heard about proving the colinearity with using factors but how can I use it in this exercise?
Thanks for your answers.
$$\left|\begin{matrix}1&1/2\\4/3&2/3\end{matrix}\right|=1\cdot\frac23-\frac12\cdot\frac43=0$$
Also:
$$\frac43\overrightarrow{MN}-\overrightarrow{MP}=0$$