The temperature of a point in space is given by T = x2 + y2 z. An insect located at a point (1, 1, 2) desire to fly in such a direction such that it will get warm as soon as possible. In what direction it should move?

• A. ( frac{-2 hat{i}}{3}+ frac{2 hat{j}}{3}+ frac{- hat{k}}{3} )
• B. ( frac{2 hat{i}}{3}+ frac{-2 hat{j}}{3}+ frac{- hat{k}}{3} )
• C. ( frac{2 hat{i}}{3}+ frac{2 hat{j}}{3}+ frac{ hat{k}}{3} )
• D. ( frac{2 hat{i}}{3}+ frac{2 hat{j}}{3}+ frac{- hat{k}}{3} )