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Find the coordinates of the point which divides the line- segment joining A (2 , -1 , 3) and B (-3 , 1 , 4) (i) internally in the ratio 2 : 3 (ii) externally in the ratio 4 : 3

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The correct Answer is:
(i) `((2 xx (-3) + 3 xx 2 )/(2 + 3) ,(2 xx 1 + 3 xx (-1))/(2 + 3),(2 xx 4 + 3 xx 3)/( 2 + 3))`
`= ( 0 , - (1)/(5) ,(17)/(5))`
(ii) `((4 xx(-3)-3 xx2)/(4 - 3) , (4 xx 1 - 3 xx (-1))/(4 - 3),(4 xx 4 - 3 xx 3 )/(4 - 3) `
`= ( - 18 , 7 , 7 )`
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