Answer:
Magnitude
of \[(\hat{i}+\hat{j})=|\hat{i}+\hat{j}|=\sqrt{{{\left( 1
\right)}^{2}}+{{\left( 1 \right)}^{2}}}=\sqrt{2}\] . Let \[(\hat{i}+\hat{j})\]
make an angle \[\beta \] with the direction of \[\hat{i}\], then\[\tan \beta
=1/1=1=\tan {{45}^{\text{o}}}\]; \[\therefore \] \[\beta ={{45}^{\text{o}}}\].
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