The angle between the direction of \(\hat{i}\) and \(\hat{i}+\hat{j}\) is
Answer & explanation
Correct answer: option 1
\(\begin{aligned}\cos \theta &=\frac{\hat{i}\cdot (\hat{i}+\hat{j})}{|\hat{i}||\hat{i}+\hat{j}|}\\ &=\frac{1}{\sqrt{2}}\\ \text{So, }\theta &=45^{\circ}\end{aligned}\)