Let P(x1, y1, z1) and Q(x2, y2, z2) be two points and let R(x, y, z) be a point on PQ dividing it in the ratio m:n. Prove that x=mx2+nx1m+n, y=my2+ny1m+n and z=mz2+nz1m+n.

Let P(x1, y1, z1) and Q(x2, y2, z2) be two points and let R(x, y, z) b

1.	Let P(x1, y1, z1) and Q(x2, y2, z2) be two points and let R(x, y, z) be a point on PQ dividing it in the ratio m:n. Prove that x=mx2+nx1m+n, y=my2+ny1m+n and z=mz2+nz1m+n.
Answer» Let $P (x_{1}, y_{1}, z_{1})$ and $Q (x_{2}, y_{2}, z_{2})$ be two points and let R(x, y, z) be a point on PQ dividing it in the ratio m:n. Prove that $x = \frac{m x_{2} + n x_{1}}{m + n}, y = \frac{m y_{2} + n y_{1}}{m + n}$ and $z = \frac{m z_{2} + n z_{1}}{m + n}$ .

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Let P(x1, y1, z1) and Q(x2, y2, z2) be two points and let R(x, y, z) be a point on PQ dividing it in the ratio m:n. Prove that x=mx2+nx1m+n, y=my2+ny1m+n and z=mz2+nz1m+n.

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