contestada

Find the point Q along the directed line segement from point R (-3, 3) to point S(6, -3) that divides the segment in the ratio 2:1.

A. (3, 0)
B. (3, -1)
C. (6, -4)
D. (0, 1)

Respuesta :

caylus

Answer:

Hello,

Step-by-step explanation:

[tex]\overrightarrow{RS}=\left(\begin{array}{c}6\\ -3\end{array}\right)-\left(\begin{array}{c}-3\\ 3\end{array}\right)=\left(\begin{array}{c}9\\ -6\end{array}\right)\\\\\overrightarrow{RQ}=\dfrac{2}{3}\overrightarrow{RS} =\dfrac{2}{3}*\left(\begin{array}{c}9\\ -6\end{array}\right)=\left(\begin{array}{c}6\\ -4\end{array}\right)\\\\[/tex]

[tex]\overrightarrow{OQ}=\overrightarrow{OR}+\overrightarrow{RQ}\\=\left(\begin{array}{c}-3\\ 3\end{array}\right)+\left(\begin{array}{c}6\\ -4\end{array}\right)=\left(\begin{array}{c}3\\ -1\end{array}\right)\\Answer\ is\ \boxed{B}[/tex]