Which of the follwing statements are correct ? 1. The coordinates o

1.	Which of the follwing statements are correct ? 1. The coordinates of the point R which divides the line segment joining two points P(x1,y1,z1) and Q(x2,y2,z2) externally in the ratio m:n are (mx2+nx1m+n,my2+ny1m+n,mz2+nz1m+n). 2. If R divides PQ internally in the ratio m:n, then its coordinates are obtained by replacing n by -n in the statement 1.
Answer» Which of the follwing statements are correct ? 1. The coordinates of the point R which divides the line segment joining two points $P (x_{1}, y_{1}, z_{1})$ and $Q (x_{2}, y_{2}, z_{2})$ externally in the ratio m:n are $(\frac{m x_{2} + n x_{1}}{m + n}, \frac{m y_{2} + n y_{1}}{m + n}, \frac{m z_{2} + n z_{1}}{m + n})$ . 2. If R divides PQ internally in the ratio m:n, then its coordinates are obtained by replacing n by -n in the statement 1.

Which of the follwing statements are correct ? 1. The coordinates of the point R which divides the line segment joining two points P(x1,y1,z1) and Q(x2,y2,z2) externally in the ratio m:n are (mx2+nx1m+n,my2+ny1m+n,mz2+nz1m+n). 2. If R divides PQ internally in the ratio m:n, then its coordinates are obtained by replacing n by -n in the statement 1.

Answer»

Which of the follwing statements are correct ?
1. The coordinates of the point R which divides the line

segment joining two points $P (x_{1}, y_{1}, z_{1})$ and $Q (x_{2}, y_{2}, z_{2})$

externally in the ratio m:n are $(\frac{m x_{2} + n x_{1}}{m + n}, \frac{m y_{2} + n y_{1}}{m + n}, \frac{m z_{2} + n z_{1}}{m + n})$ .

2. If R divides PQ internally in the ratio m:n, then its coordinates

are obtained by replacing n by -n in the statement 1.