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Experts,
Grammatically speaking, is "for" necessary in the following sentences?
 Where are you going for shopping?
 Where do you want to go for shopping?

Or is it permissible to omit it and say like:
 Where are you going shopping?
 Where do you want to go shopping?

Thank you.
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It is not possible to use the first two sentences; you must use the second two.
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Yes, but you can say "where to go for online (Christmas, outlet etc) shopping