Question -
Answer -
(i) The coordinates ofpoint R that divides the line segment joining points P (x1, y1, z1) and Q (x2, y2, z2) internally in the ratio m: n are
.
Let R (x, y, z) be the point that divides the linesegment joining points(–2, 3, 5) and (1, –4, 6) internally in the ratio 2:3
Thus, thecoordinates of the required point are
.
(ii) Thecoordinates of point R that divides the line segment joining points P (x1, y1, z1) and Q (x2, y2, z2) externally in the ratio m: n are
.
Let R (x, y, z) be the point that divides the linesegment joining points(–2, 3, 5) and (1, –4, 6) externally in the ratio 2:3
Thus, thecoordinates of the required point are (–8, 17, 3).