The potential difference, ΔV:

$\overline{){\mathbf{\u2206}}{\mathbf{V}}{\mathbf{=}}{\mathbf{-}}\stackrel{\mathbf{\rightharpoonup}}{\mathbf{E}}{\mathbf{\xb7}}\stackrel{\mathbf{\rightharpoonup}}{\mathbf{s}}}$

Vectors A and B are expressed as:

$\stackrel{\mathbf{\rightharpoonup}}{\mathbf{A}}\mathbf{=}{\mathit{x}}_{\mathbf{1}}\hat{\mathbf{i}}\mathbf{+}{\mathit{y}}_{\mathbf{1}}\hat{\mathbf{j}}$

and

$\stackrel{\mathbf{\rightharpoonup}}{\mathbf{B}}\mathbf{=}{\mathit{x}}_{\mathbf{2}}\hat{\mathbf{i}}\mathbf{+}{\mathit{y}}_{\mathbf{2}}\hat{\mathbf{j}}$

The displacement vector, s:

What is the potential difference V_{AB }= V_{A} − V_{B} between points A and B?

Express your answer in terms of some or all of E, x_{1}, y_{1}, x_{2}, and y_{2}.

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