I was given a thinking question as my homework.
So basically what I've tried to do is: Since it's given that both the vectors start from the exact same point, and have the same magnitude, I tried to find the magnitude of PB by calculating the distance between vector P and B (a,0) + (0,2) and got sqrt((-a)^2 + 2
Following the same procedure for vector PA, I got sqrt((5-a)^2 - 0)
Now, I tried making both magnitudes equal to each other and solve for a since I know both vectors are to have the same magnitude, however, my result is different than the one in the textbook.
So my question is: am I missing anything? Does my logic even work here?