The point dividing the join of $(3,-2,1)$ and $(-2,3,11)$ in the ratio $2: 3$ is

Question

Aicharya · Accepted Answer

Let require point is $P$, then by section formula the coordinate of point $P$ are

$\Rightarrow P\left(\frac{m x_2+n x_1}{m+n}, \frac{m y_2+n y_1}{m+n}, \frac{m z_2+n z_1}{m+n}\right)$ $\Rightarrow \quad P\left(\frac{-4+9}{2+3}, \frac{6-6}{2+3}, \frac{22+3}{2+3}\right)$ $\Rightarrow \quad P\left(\frac{5}{5}, \frac{0}{5}, \frac{25}{5}\right)$ $\Rightarrow \quad P(1,0,5)$

The point dividing the join of $(3,-2,1)$ and $(-2,3,11)$ in the ratio $2: 3$ is

Solution