माना एक मात्रक सदिश \(\hat{\mathrm{u}}=x \hat{\mathrm{i}}+y \hat{\mathrm{j}}+\mathrm{z} \hat{\mathrm{k}}\) सदिशों \(\frac{1}{\sqrt{2}} \hat{\mathrm{i}}+\frac{1}{\sqrt{2}} \hat{\mathrm{k}}, \frac{1}{\sqrt{2}} \hat{\mathrm{j}}+\frac{1}{\sqrt{2}} \hat{\mathrm{k}}\) तथा \(\frac{1}{\sqrt{2}} \hat{\mathrm{i}}+\frac{1}{\sqrt{2}} \hat{\mathrm{j}}\) से क्रमशः \(\frac{\pi}{2}, \frac{\pi}{3}\) तथा \(\frac{2 \pi}{3}\) के कोण बनाता है। यदि \(\vec{v}=\frac{1}{\sqrt{2}} \hat{i}+\frac{1}{\sqrt{2}} \hat{j}+\frac{1}{\sqrt{2}} \hat{\mathrm{k}}\) है, तो \(|\hat{\mathrm{u}}-\overrightarrow{\mathrm{v}}|^2\) = ...........

1. A  \(\frac{11}{2}\)
2. B  \(\frac{5}{2}\)
3. C \(9\)
4. D \(7\)