A) 3, 12, 4
B) \[\frac{1}{4},\frac{1}{3},\frac{1}{2}\]
C) \[\frac{3}{\sqrt{13}},\frac{1}{\sqrt{13}},\frac{2}{\sqrt{13}}\]
D) \[\frac{3}{13},\frac{12}{13},\frac{4}{13}\]
Correct Answer: D
Solution :
Required direction cosines are \[\frac{3}{\sqrt{{{3}^{2}}+{{12}^{2}}+{{4}^{2}}}},\,\,\frac{12}{\sqrt{{{3}^{2}}+{{12}^{2}}+{{4}^{2}}}},\,\,\frac{4}{\sqrt{{{3}^{2}}+{{12}^{2}}+{{4}^{2}}}}\] i.e., \[\frac{3}{13},\frac{12}{13},\frac{4}{13}\].
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