(Polar molecules, Non-polar molecules, etc.)
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I would draw the direction of the arrows, if you look like they are positioned in obvious opposite directions, they cancel out. If it is not obvious I would draw vector diagrams like in high school physics, determine the x and y components and figure out whether or not the directions cancel the magnitudes out.
Once you draw out the compound, the biggest thing that will help you are the dipole arrows in relation to the elements involved. If you have an asymmetrical structure that's one sign but when deciding if something is polar or nonpolar check if the arrows of 2 identical bonds cancel out (are exactly opposite to each other).
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