$\overrightarrow{\mathrm{A}}=\sqrt{2}\hat{\mathrm{i}}+\sqrt{2}\hat{\mathrm{j}}\text{ and }\overrightarrow{\mathrm{B}}=\hat{\mathrm{i}}+\hat{\mathrm{j}}$ then the vector parallel to $\overrightarrow{\mathrm{A}}$ and having the magnitude $\overrightarrow{\mathrm{B}}$ is

• A

  $\hat{\mathrm{i}}+\hat{\mathrm{j}}$

• B

  $\sqrt{2}\hat{\mathrm{i}}+\sqrt{2}\hat{\mathrm{j}}$

• C

  $2\hat{\mathrm{i}}+2\hat{\mathrm{j}}$

• D

  $\frac{1}{\sqrt{2}}\hat{\mathrm{i}}+\frac{1}{\sqrt{2}}\hat{\mathrm{j}}$