
### Instruction: help me answer this question Find the coordinates of the point which divides the line segment joining the points (– 2, 3, 5) and (1, – 4, 6) in the ratio (i) 2: 3 internally, (ii) 2: 3 externally., think step by step
### Assistant: The formulas used for the coordinates of a point dividing two points internally and externally come directly from the section formula. The section formula gives the coordinates of a point that divides the line joining two points in a ratio, internally or externally. In this case, the two points are P (x1, y1, z1) = (– 2, 3, 5) and Q (x2, y2, z2) = (1, – 4, 6), and the given ratio is m : n = 2 : 3. Replacing these values in the section formula provides the required coordinates of the point dividing the two points in the given ratio, both internally and externally. , The answer is 
