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Derive an expression for the co-ordinate...

Derive an expression for the co-ordinates of points that divides the linejoining points `A(x_1,y_1,z_1) andB(x_2,y_2,z_2)` internally in the ratio m:n.Hence find the co-ordinates of midpoint of AB where A=(3,2,1) and B=(7,6,5).

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The correct Answer is:
R(x , y , z) = `((mx_(2) + nx_(1))/(m + n) , (my_(2) + ny_(1))/( m+ n) , (mz_(2) + nz_(1))/(m + n))`
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