Question -
Answer -
(i) The coordinates ofpoint R that divides the line segment joining points P (x1,┬аy1,┬аz1) and Q (x2,┬аy2,┬аz2) internally in the ratio┬аm:┬аn┬аare
.
Let R (x,┬аy,┬аz) be the point that divides the linesegment joining points(тАУ2, 3, 5) and (1, тАУ4, 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,┬аy1,┬аz1) and Q (x2,┬аy2,┬аz2) externally in the ratio┬аm:┬аn┬аare
.
Let R (x,┬аy,┬аz) be the point that divides the linesegment joining points(тАУ2, 3, 5) and (1, тАУ4, 6) externally in the ratio 2:3
Thus, thecoordinates of the required point are (тАУ8, 17, 3).