Answer :
The x- component of the resultant vector is 9.
What is an electric field?
The electric force per unit charge is referred to as the "electric field." It is assumed that the field's direction corresponds to the force it would apply to a positive test charge. A negative point charge emits an electric field inward, while a positive point charge emits an electric field outward.
The electric field by a single charge (say [tex]q_{1}[/tex]) can be given by
[tex]\frac{kq_{1}}{r^{2}}[/tex]
When someone adds another charge, it experiences an electric force due to the electric field
Electric force = Electric field × charge [tex]=Eq_{2}=\frac{kq_{1}q_{2}}{r^{2}}[/tex]
For adding to vectors, we add the x and y components separately, and then find the resultant vector
Resultant x component + resultant y component
Add the x components
[tex]5\hat{x}+4\hat{x}=9\hat{x}[/tex]
Add the y components
[tex]2\hat{y}+6\hat{y}=8\hat{y}[/tex]
Therefore, the resultant vector is [tex]9\hat{x}+8\hat{y}[/tex]
So, the x- component is 9.
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