A) \[\left( \frac{6}{7},\frac{2}{7},\frac{3}{7} \right)\]
B) \[\left( \frac{2}{7},\frac{3}{7},\frac{6}{7} \right)\]
C) \[\left( \frac{6}{7},\frac{3}{7},\frac{2}{7} \right)\]
D) None of these
Correct Answer: A
Solution :
D.c?s of line PQ is \[l=\frac{{{x}_{2}}-{{x}_{1}}}{|PQ|},\,m=\frac{{{y}_{2}}-{{y}_{1}}}{|PQ|},\,n=\frac{{{z}_{2}}-{{z}_{1}}}{|PQ|}\] \[\because \]\[{{x}_{2}}-{{x}_{1}}=-6,\,{{y}_{2}}-{{y}_{1}}=-2,\,{{z}_{2}}-{{z}_{1}}=-3\] and \[|PQ|=\sqrt{36+4+9}=7\] \ \[l=\frac{6}{7},\,m=\frac{2}{7},\,n=\frac{3}{7}\].
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