જો $\vec{a}=\hat{i}+\hat{j}+\hat{k}, \vec{b}=2 \hat{i}-\hat{j}+3 \hat{k}$ અને $\vec{c}=\hat{i}-2 \hat{j}+\hat{k}$ હોય,તો સદિશ $2 \vec{a}-\vec{b}+3 \vec{c}$ ને સમાંતર એકમ સદિશ શોધો.

• A
  $\frac{3}{\sqrt{22}}\hat{i} - \frac{3}{\sqrt{22}}\hat{j} + \frac{2}{\sqrt{22}}\hat{k}$
• B
  $\frac{1}{\sqrt{22}}\hat{i} - \frac{3}{\sqrt{22}}\hat{j} + \frac{2}{\sqrt{22}}\hat{k}$
• C
  $\frac{3}{\sqrt{22}}\hat{i} + \frac{3}{\sqrt{22}}\hat{j} + \frac{2}{\sqrt{22}}\hat{k}$
• D
  $\frac{3}{\sqrt{22}}\hat{i} - \frac{3}{\sqrt{22}}\hat{j} - \frac{2}{\sqrt{22}}\hat{k}$