1.

the co ordinate of the point which divides internally the join of p (2,-1,4) and (4,3,2) in the ratio 2:3 is​

Answer»

ANSWER:

LET R (x,y,z) be the required point.

(i) Let R divides PQ internally in the RATIO 2:3, Then

\\ \qquad \sf \: x = \frac{2 \times 4 + 3 \times 2}{2 + 3} \\ \\ \\ \qquad \sf \: y = \frac{2 \times 3 + 3 \times - 1}{2 + 3} \\ \\ \\ \qquad \sf \: z = \frac{2 \times 2 + 3 \times 4}{2 + 3} \\ \\ \\ \implies \sf \: x = \frac{14}{5} \: , \: y = \frac{3}{5} \: , \: z = \frac{16}{5} \\ \\

So, the coordinates of the POINTS are

\\ \qquad \sf \: ( \frac{14}{5} , \frac{3}{5} , \frac{16}{5} ) \\ \\


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