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Distance between two points P(x_{1}, y_{1}, z_{1}) and Q(x_{2}, y_{2}, z_{2}) is given by

**Section Formula**

The co-ordinates of the point *R* which divides the join of A(x_{1}, y_{1}, z_{1}) and B(x_{2}, y_{2}, z_{2})in the ratio *m*:*n* are:

When *m* = *n*, we find the co-ordinates of the mid-point of *PQ* as:

The co-ordinates of any points on the line joining two points

P(x_{1}, y_{1}, z_{1}) and P(x_{2}, y_{2}, z_{2}) are:

Where k ≠ −1

If *k* takes only positive real values, we get the co-ordinates of the points on the Segment *PQ* (except *P* and *Q*).

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