1.

Find the coordinates of the point which divides the join of the points `P(5,4,-2) and Q(-1,-2,4)` in the ratio `2:3`

Answer» Let `R(x,y,z)` be the required point, then
`x=(2(-1)+3xx5)/(2+3),y=(2(-2)+3xx4)/(2+3),z=(2xx4+3xx2)/(2+3)`
`or x=(13)/(5), y= (8)/(5) and z =(14)/(5)`
So, the required point is `R((13)/(5),(8)/(5),(14)/(5))`


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