Question

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

• A. (1, 1, 4)
• B. (1, 0, 5)
• C. (2, 3, 5)
• D. (0, 6, -1)

Answer 1

Answer: (B)

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

$\Rightarrow P\left(\frac{m{x}_2+n{x}_1}{m+n},\frac{m{y}_2+n{y}_1}{m+n},\frac{m{z}_2+n{z}_1}{m+n}\right)$
$\Rightarrow P\left(\frac{-4+9}{2+3},\frac{6-6}{2+3},\frac{22+3}{2+3}\right)$
$\Rightarrow P\left(\frac{5}{5},\frac{0}{5},\frac{25}{5}\right)$
$\Rightarrow P(1,0,5)$