Find the magnitudes of the vectors given below: \[ \begin{array}{l}...

Find the magnitudes of the vectors given below:
\[
\begin{array}{l}
\vec{a}=2 \hat{i}+3 \hat{j}+\hat{k} \\
\vec{b}=\hat{i}-2 \hat{j}-3 \hat{k} \\
\vec{c}=5 \hat{i}+2 \hat{j}+4 \hat{k}
\end{array}
\]
(A) \( \sqrt{3}, \sqrt{15}, 1 \)
(B) \( \sqrt{35}, \sqrt{2}, 9 \)
(C) \( 1,1,1 \)
(D) \( \sqrt{14}, \sqrt{14}, \sqrt{45} \)