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Find the coordinates of the points which...

Find the coordinates of the points which trisect the line segment joining (2, 1, 0) and (5, 8, -3).

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Let P and Q be the points which trosect the line segment AB. Therefore P divides AB in 1 : 2
and Q divides AB in 2 :1.
Case -I : AS P divies AB in 1 : 2
`therefore` Coordinates of P are given by
`((1xx5+2xx2)/(1+2), (1xx8+2xx1)/(1+2), (1xx(-3)+2xx0)/(1+2))=(3, 10/3, -1)`
Case -II AS Q divides AB in 2 : 1
`therefore` coordinates of Q are given by
`((2xx5+1xx2)/(2+1), (2xx8+1xx1)/(2+1), (2xx(-3)+1xx0)/(2+1))=(4, 17/3, -2)`
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