Given the three vectors A = 2i + j, B = i + k, and C = 4j, find the following:
(a) A ∙ (B+C) and (A+B) ∙ C
(b) A ∙ (B×C) and (A×B) ∙ C
(c) A×(B×C) and (A×B)×C
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