What is v in terms of i and j when p1=(5,5 ) and p2 =(-3,-2)

To find the vector representation between the points (5,5) and (-3,-2), we need to find the difference in the x and y components. To do this we just need to do (-3-5) and (-2-5) this gives us an i component of -8 and a j component of -7
Final
v=-8i-7j
Hope I helped :)
And PS, eventually you will get to three dimensions which uses i j and k ;)