question_answer

What is the angle made by vector \[\vec{A}=\text{2\hat{i}}+\text{2\hat{j}}\]with x-axis?

Answer:

Here, \[{{\text{A}}_{\text{x}}}=\text{2}\],\[{{\text{A}}_{\text{y}}}=\text{2}\]. Let \[\theta \]be the angle which the \[\vec{A}\] make with x-axis then \[\text{tan}\theta ={{\text{A}}_{\text{y}}}/{{\text{A}}_{\text{x}}}=\text{2}/\text{2}=\text{1 or}\,\,\theta =\text{45}{}^\circ \].