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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.

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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.

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Solution

(i) The coordinates of point R that divides the line segment joining points P (x1y1z1) and Q (x2y2z2) internally in the ratio mare

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