Electric Field- Infinite Plane Charge Infinite Line Charge

[MostlyHarmless]

Homework Statement

Blah Blah irrelevant context.. positively charged plate occupying the x - y plane with charge density $σ=5.2{\frac{nC}{m^2}}$.This maybe modeled as an infinite charged plane. There is a Charged wire running parallel to the y-axis through the point $(-2.0cm, 0, 1.0cm)$ The wire can be modeled as an infinite linear charge and carries a negative charge of $λ=-1.3{\frac{nC}{m}}$. Compute the electric field at point P at $(0,0,5cm)$. Draw the electric field vectors from each object and the total electric field at point P.

I got final answers that could be in the right direction, but something seems off.. Am I doing this right, do the values seem correct?

Note: In the attached pictures, I've labeled in green what each step is and underlined in green important values, and then put green boxes around final values. The black is just my correcting a mixed up sign.

Homework Equations

See attatched Pictures

The Attempt at a Solution

See attached pictures.

 

[MostlyHarmless]

Here are the pictures, it wouldn't let me post them in the op for some reason.

 

[rude man]

Thumbnails too messy to read. Type in please.