Where am I going wrong with this vector addition?

[guyvsdcsniper]

Homework Statement

Three charged particles with q1 = -50 nC, q2 = +50 nC, and q3 = +30 nC are placed on the corners of the 5.0 cm X 10.0 cm rectangle shown in Figure 22.18lkl. What is the net force on charge q3 due to the other two charges? Give your answer both in component form and as a
magnitude and direction

Relevant Equations

F=kq1q2/r^2

I am following along with an example in my book regarding force from an electric charge. I understand the process but I believe I am getting something wrong when it comes to adding the vectors.

Essentially, F13 is equal to -1.35*10^-3 j and when I add that to the j component of F23 which is 9.67*10^-4 J I am getting -3.84*10^-4. The book is giving positive 3.84*10^-4. I have highlighted the values in the PDF attached. Could someone help me understand why it would be positive?

 

[haruspex]

Clearly a typo in the given answer.
Maybe the minus sign on the i coefficient was supposed to be outside the parentheses.