What is the direction of the E field at point P due to the sphere?

[Questions999]

Homework Statement

an infinite plan,parallel to the yz plan which passes from x=2 meter, is charged equally with the σ= 2μC/m^2 .A sphere with a radius 0.8 meters has its center in the in x=1 m,y=0 and has ρ=-6μC/m^3.Find the value of the intensity of the electric field in the point x=1 m and y=0.5 m.

Homework Equations

the figure :

The Attempt at a Solution

The E at P is = Eplane + Esphere
I find the E of plane =(-σ/2∈ )* i=-113kN/C * i
To find the E of sphere, I have to use the formula E=(4*pi/3)*k*r*ρ*rˆ... I have every known data,I just need to find the unit vector r or (rˆ)..how to find it?

 

[rude man]

By symmetry, what is the direction of the E field at point p due to the sphere by itself?
Hint: invoke Gauss's law.