Question

Find the coordinates of the point which divides the join of the points A(2, -1, 3) and B(4, 3, 1) externally in the ratio 3:4.

Answer 1

Let C(x, y, z) be the required point. Then,

$x=\frac{3\times 4-4\times 2}{3-4},y=\frac{3\times 3-4(-1)}{3-4},\frac{3\times 1-4\times 3}{3-4}$

or $x=-4,y=-13$ and $z=9$.

$\therefore$ the required point is C(-4, -13, 9).