Question

Find the y value for the point C such that AC and BC form a 2:3 ratio.

Segment AB is shown. A is at negative 3, 5. B is at 3, 0.

1.2

3

2.4

2

Answer 1

@cwrw238

Answer 2

2

Answer 3

That means \(\vec c =\dfrac{2}{5}\vec a+ \dfrac{3}{5}\vec b\)
and \(\vec a= \left(\begin{matrix}-3\\5\end{matrix}\right)\)
\(\vec b= \left(\begin{matrix}3\\0\end{matrix}\right)\)
so, \(\vec c =\dfrac{2}{5}\left(\begin{matrix}-3\\5\end{matrix}\right)+ \dfrac{3}{5}\left(\begin{matrix}3\\0\end{matrix}\right)=\left(\begin{matrix}3/5\\2\end{matrix}\right)\)
which show y =2