Checkout JEE MAINS 2022 Question Paper Analysis : Checkout JEE MAINS 2022 Question Paper Analysis :

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

1) 

\(\begin{array}{l}\hat{k}\end{array} \)

2) 

\(\begin{array}{l}\hat{i}+\hat{j}\end{array} \)

3) 

\(\begin{array}{l}\frac{\hat{i}+\hat{j}}{\sqrt{2}}\end{array} \)

4) 

\(\begin{array}{l}\frac{\hat{i}+\hat{j}}{2}\end{array} \)

Answer: 3) 

\(\begin{array}{l}\frac{\hat{i}+\hat{j}}{\sqrt{2}}\end{array} \)

Solution:

\(\begin{array}{l}\hat{R}=\frac{\vec{R}}{\left | R \right |}=\frac{\hat{i}+\hat{j}}{\sqrt{1^{2}+1^{2}}}= \frac{\hat{i}+\hat{j}}{\sqrt{2}}\end{array} \)

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