Coulomb's law; vector form problem

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SUMMARY

The discussion focuses on calculating the resultant force acting on charge Q3 due to charges Q1 and Q2 using Coulomb's law in vector form. The values provided are Q1 = -2nC, Q2 = 1nC, and Q3 = 3nC, with distances of 4cm and 6cm between the charges. The calculations yield a resultant force of F(resultant) = -9.15 * 10^-6 N, indicating the direction of the force is towards charge Q1. The constant k0 is defined as 9 * 10^9 N m²/C².

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Homework Statement


3 charges are placed like shown:

Q1 __4cm____ Q2 ______6cm___________Q3
Q1=-2nC
Q2= 1nC
Q3= 3nC
Find the resultant force and its direction upon the charge Q3.

Homework Equations


F=k0*(Q1Q2)/r2
k0-constant, equals to 9*10^9
r-distance

The Attempt at a Solution


F1,2=9*10^9*(-2*10^-9*3*10^-9)/(4*10^-2)^2=-11.25*10^-6
F2,3=7,5*10^-6
F1,3=-5,4*10^-6
F(resultant)= 7,5-11,25-5,4 (*10^-6)= -9,15 *10^-6
 
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Does the force F1,2 act on Q3?

Be sure to include units in your answer.
 

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