If vector a has a magnitude of 29 units and points in the positive y direction. when vector b is added to a the resultant is 24 units in the negitive y direction, what is the magnitude of b?

Answer 1

Do simple vector addition:

a = (0,29)
b = (x,y)
a+b = (0,-24)

0+x = 0 ==> x = 0
29 + y = -24 ==> y = -53

So, b = (0,-53)