Find a Unit Vector in the Direction of the Resultant of the Vectors ^ I ^ J + 3 ^ K , 2 ^ I + ^ J 2 ^ K and ^ I + 2 ^ J 2 ^ K .

Question

Find a unit vector in the direction of the resultant of the vectors
[\hat{i} - \hat{j} + 3 \hat{k} , 2 \hat{i} + \hat{j} - 2 \hat{k} \text{ and }\hat{i} + 2 \hat{j} - 2 \hat{k} .]