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Represent pictorially how electric flux ...

Represent pictorially how electric flux may be taken as the dot product as `vecE` and `vec(Delta)s`

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If `S_(1)` makes an angle with `S_(2)` then their normals at the common centre makes an angle of `theta`.
The component of `vecE` along the normal at the new inclination.
will be `E cos theta`
We note that `Delta phi=(E cos theta) Deltas=E Deltas cos theta=vecE.vec(Delta)s`
Hence electric flux `sumDelta phi=sum vec(E).Delta vecs`
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