 Good morning friends, I am Purva and today we will solve the following question. Find the scalar and vector components of the vector with initial point 2,1 and terminal point minus 5,7. Let us now begin with the solution. Now, let the initial point be O of 2,1 and we have this is equal to 2i cap plus j cap and terminal point be P of minus 5,7 and we have this is equal to minus 5i cap plus 7j cap. So, this is point O with coordinates 2,1 and this is point P with coordinates minus 5,7 and we have to find vector OP. So, vector OP is equal to position vector of P minus position vector of O, this is equal to now position vector of P is minus 5i cap plus 7j cap minus position vector of O is 2i cap plus j cap. Now, we can write this as this is equal to minus 5 minus 2i cap plus 7 minus 1j cap and this is equal to minus 7i cap plus 6j cap. So, we have got vector OP is equal to minus 7i cap plus 6j cap, hence we have the scalar components are minus 7 and 6 and the vector components are minus 7i cap and 6j cap. So, we write our answer as minus 7 and 6 and minus 7i cap and 6j cap. Hope you have understood the solution. Bye and take care.