# Find the Co-ordinates of the Point, Which Divides the Line Segment Joining the Points A(2, − 6, 8) and B(− 1, 3, − 4) Externally in the Ratio 1 : 3 - Mathematics and Statistics

Find the co-ordinates of the point, which divides the line segment joining the points A(2, − 6, 8) and B(− 1, 3, − 4) externally in the ratio 1 : 3.

#### Solution

Let bara and barb be the position vectors of the points A and B respectively.

Then, bara = 2hati −6hatj + 8hatk and barb = −hati +3hatj −4hatk

Let R( barr ) be the point which divides the line segment joining the points A and B externally in the ratio 1 : 3.

Concept: Concept of Line - Distance of a Point from a Line
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