જો $a=\hat{i}+2 \hat{j}+3 \hat{k}$,$b=2 \hat{i}+3 \hat{j}+2 \hat{k}$ અને $c$ એ $b$ ને લંબ સદિશ હોય,તો $\left\{\frac{a \cdot(b \times c)}{|b \times c|^2}\right\}(b \times c)+\left\{\frac{a \cdot b}{|b|^2}\right\} b+\left\{\frac{a \cdot c}{|c|^2}\right\} c$ ની કિંમત શોધો.

• A
  $\sqrt{14}$
• B
  $14$
• C
  $13$
• D
  $\sqrt{17}$