Is Gauss's Law Always Intuitive in Electromagnetic Theory?

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Homework Statement



The Flux of the E-Field is a vector.
It is safer to sit inside a car when lightning strikes than to stand in the open.
If the net charge enclosed by a Gaussian Surface is zero, then by Gauss' Law, the E-Field is zero at all points on the surface.
The Electric flux through a closed surface wholly within a charged conductor is zero.
The Electric Flux through a closed surface is independent of static charges outside the surface.

Homework Equations



These are all either true or false

The Attempt at a Solution


1 is false
2 i think is false because because a charge within a hollow conductor makes the whole conductor act as if it were the charge
3 is true
4 i know is true
5 false

help? I am going nuts
 
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