"Will" and "shall" are auxiliaries to denote the future tense. The rule is that ordinarily the first person uses" shall" (I shall, we shall), and the second and third persons use "will" (you will, he will, they will). These are reversed for emphasis or command.
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AlpheccaStarsIt is still used in very polite invitation questions: Shall we go now? Shall we dance? (formal, polite)This is possibly more common in the UK. I use "Shall we ..." regularly in normal everyday conversation.