Section Formula in 3D
If point $$p$$ divides the line joining:
$$A(x_1,y_1,z_1)$$
and:
$$B(x_2,y_2,z_2)$$
internally in ratio $$m:n$$:
$$P\left(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n},\frac{mz_2+nz_1}{m+n}\right)$$
Usage
- Used to find the coordinates of an internally dividing point.
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