 Hello and welcome to this session. In this session we will discuss a question which says that if vector a is equal to audit pair minus 2,3 and vector b is equal to audit pair 1,4, then find vector a plus vector b also represents it dynamically. Now before starting the solution of this question, we should know some results. First is if vector a is equal to audit pair x1, y1, vector b is equal to audit pair x2, y2, then vector a plus vector b is equal to audit pair x1 plus x2, y1 plus y2. And second result is to represent the addition of two vectors a and b dynamically, we draw the two vectors one after the other placing the initial point of the succeeding vector on the terminal point of the previous vector. Then we draw the resultant vector from the initial point of the first vector to the terminal point of the last vector and this resultant is vector a plus vector b. So these results will work out as a key idea for solving out the given question. Now let us start with the solution of the given question. Now here we are given vector a is equal to audit pair minus 2,3 and vector b is equal to audit pair 1,4 and we have to find vector a plus vector b. For this we will use the first result that is given to us in the key idea. So vector a plus vector b is equal to audit pair x1 plus x2 that is minus 2 plus 1, y1 plus y2 that is 3 plus 4. Which is equal to audit pair minus 1,7. So vector a plus vector b is equal to audit pair minus 1,7. Now we have to represent it diagrammatically. For this we will make use of the second result given in the key idea. Now first of all we will draw the vector a with components minus 2,3. We will take this grid paper and we will take any point on this paper as initial point. Now let us take this initial point at the original. Now here you can see x component of this vector is minus 2 and y component is 3. So from this initial point we will move 2 units to the left and 3 units up and we reach this terminal point. So this is the vector a. Now here as we have moved upwards so we show upward direction. Now let us draw vector b with components 1,4. Now creating this terminal point of vector a as initial point of vector b. We move 1 unit to the right and 4 units up and we reach at the terminal point of vector b. So this is the vector b. Then we draw the reversal factor from the initial point of vector a to the terminal point of vector b. Now from this point as we have moved upwards so we show upward direction. And this resultant vector is vector a plus vector b. Now this is the initial point of vector a plus vector b and this is its terminal point. Now here you can see that from initial point we have moved 1 unit to the left and 1,2,3,4,5,6 and 7 units upwards. And we have reached the terminal point of vector a plus vector b thus its components are minus 1,7. So this is the solution of the given question and that's all for this session hope you all have enjoyed the session.