The coordinates of the point which divides the line joining the points $(2,3,4)$ and $(3,-4,7)$ in the ratio…
The coordinates of the point which divides the line joining the points $(2,3,4)$ and $(3,-4,7)$ in the ratio $2: 4$ externally is
$(10,1,1)$
$(1,10,1)$
$(10,-10,10)$
$(1,1,10)$
Solution
Coordinates of the point which divides the line joining the points $(2,3,4)$ and $(3,-4,7)$ in the ratio $2: 4$ externally
$
\begin{aligned}
& =\left(\frac{2(3)-4(2)}{2-4}, \frac{2(-4)-4(3)}{2-4}, \frac{2(7)-4(4)}{2-4}\right) \\
& =(1,10,1)
\end{aligned}
$