Solving for Potential Difference Between (4,6,3) and (8,1,6)

[grtdane17]

1. Homework Statement [/b]
Problem - Compute the potential difference between the points (4,6,3) and (8,1,6) due to a constant electrostatic field given by E = (2 ihat + 7 jhat + 12 khat) N/C. distance in meters

Homework Equations

F_q = qE

Vr = Keq₁/(r-r₁)

F_q = (Kq₁ (r-r₁))/(r-r₁)³

The Attempt at a Solution

I can't figure out how to solve.

Currently I combined the two points to find the vector magnitude and then found the maginute of E. then plugged into the Fq = qE problem to solve for q. Then plugged into the Vr equation. I don't believe this is correct though and should be using the third equation as well.

 

[Mindscrape]

Try
$$V = - \int \mathbf{E} \cdot d \mathbf{l}$$

 

[grtdane17]

The class is not calculus based. It has to be worked by algebra.