 Hi friends, I am Purva and today we will discuss the following question, find the unit vector in the direction of the vector vector A is equal to i cap plus j cap plus 2 k cap. Let us now begin with the solution. Now the unit vector in the direction of vector A is given by A cap is equal to vector A upon mod of vector A and we have this is equal to now vector A is given to be i cap plus j cap plus 2 k cap upon now mod of vector A will be mod of i cap plus j cap plus 2 k cap and we have this is equal to i cap plus j cap plus 2 k cap upon now mod of i cap plus j cap plus 2 k cap will be given by under root of 1 square plus 1 square plus 2 square and we have this is equal to i cap plus j cap plus 2 k cap upon under root of now 1 square is equal to 1 so we have 1 plus 1 plus 2 square is equal to 4 so we have 4 and this is equal to i cap plus j cap plus 2 k cap upon under root of 6. Therefore we have A cap is equal to 1 upon root 6 i cap plus 1 upon root 6 j cap plus 2 upon root 6 k cap. Thus the unit vector in the direction of vector A is 1 upon root 6 i cap plus 1 upon root 6 j cap plus 2 upon root 6 k cap. This is our answer. Hope you have understood the solution. Bye and take care.