The direction cosines of the vector i + 3j + 2k are

Question

The direction cosines of the vector \(\overrightarrow{i}+3\overrightarrow{j}+2\overrightarrow{k}\) are

(A) \(\frac{1}{\sqrt{14}},\frac{3}{\sqrt{14}},\frac{2}{\sqrt{14}}\)

(B) \(\frac{3}{\sqrt{14}},\frac{1}{\sqrt{14}},\frac{1}{\sqrt{14}}\)

(C) \(\frac{1}{\sqrt{14}},\frac{2}{\sqrt{14}},\frac{3}{\sqrt{14}}\)

(D) none of these

Answer 1

Correct option is: (A) \(\frac{1}{\sqrt{14}},\frac{3}{\sqrt{14}},\frac{2}{\sqrt{14}}\)