Question

The unit vector along $\hat{i}+\hat{j}$ is

• A. $\hat{k}$
• B. $\hat{i}+\hat{j}$
  
• C. $\frac{\hat{i}+\hat{j}}{\sqrt{2}}$
• D. $\frac{\hat{i}+\hat{j}}{2}$

Answer 1

The correct option is C

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

$\hat{R}=\frac{\hat{R}}{|R|}=\frac{\hat{i}+\hat{j}}{\sqrt{1^2+1^2}}=\frac{1}{\sqrt{2}}\hat{i}+\frac{1}{\sqrt{2}}\hat{j}$