A vector \(\vec r=a \hat i+b \hat j\) is equally inclined to both x and y axes. If the magnitude of the vector is 2 units, then what are the values of a and b respectively?

• A. \(\dfrac{1}{2}, \dfrac{1}{2}\)
• B. \(\dfrac{1}{\sqrt2}, \dfrac{1}{\sqrt2}\)
• C. √2, √2
• D. 2, 2