Find the coordinates of the point which divides the line segment joining the points `(1, 2, 3)`and `(3, 4, 5)`in the ratio `2 : 3`
(i) internally, and (ii) externally.

Explanation

Given points `(1, 2, 3)`and `(3, 4, 5)`


(i) Internally: `h=(mx_2+nx_1)/(m+n), k=(my_2+ny_1)/(m+n), l=(mx_2+nx_1)/(m+n)`


=>`h=(2(3)+3(1))/(2+3), k=(2(4)+3(-2))/(2+3), l=(2(-5)+3(3))/(2+3)`


=>`h=9/5, k=2/5, l=-1/5`


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