Suppose that two quantities A and B have different dimensions. Determine which of the following arithmetic operations could be physically meaningful: (i) A+B (ii) A/B (iii) B-A (iv) AB
It is allowed to multiply or divide quantities with the different dimensions, but it is no sence to add or subtract them. Thus, the answer is the following.
Answer. (ii) A/B, (iv) AB.
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