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Q.
The point dividing the join of $(3,-2,1)$ and $(-2,3,11)$ in the ratio $2: 3$ is
EAMCETEAMCET 2010
Solution:
Let require point is $P$, then by section formula the coordinate of point $P$ are
$\Rightarrow P\left(\frac{m x_{2}+n x_{1}}{m +n}, \frac{m y_{2}+n y_{1}}{m +n}, \frac{m z_{2}+n z_{1}}{m +n}\right)$
$\Rightarrow P\left(\frac{-4+9}{2+3}, \frac{6-6}{2+3}, \frac{22+3}{2+3}\right)$
$\Rightarrow P\left(\frac{5}{5}, \frac{0}{5}, \frac{25}{5}\right)$
$\Rightarrow P(1,0,5)$
