question_answer

What is the magnitude and direction of \[(\hat{i}+\hat{j})\]?

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\[\tan \beta =1/1=1=\tan {{45}^{\text{o}}}\]; \[\therefore \] \[\beta ={{45}^{\text{o}}}\].