Find the direction cosines of the vector $\hat{i}+2 \hat{j}+3 \hat{k}$.

  • A
    $\left(\frac{1}{\sqrt{14}}, \frac{2}{\sqrt{14}}, \frac{3}{\sqrt{14}}\right)$
  • B
    $\left(\frac{1}{\sqrt{14}}, \frac{2}{\sqrt{14}}, \frac{4}{\sqrt{14}}\right)$
  • C
    $\left(\frac{2}{\sqrt{14}}, \frac{1}{\sqrt{14}}, \frac{3}{\sqrt{14}}\right)$
  • D
    $\left(\frac{3}{\sqrt{14}}, \frac{2}{\sqrt{14}}, \frac{1}{\sqrt{14}}\right)$

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