Suppose two quantities, A and B, have different dimensions. Determine which of the following arithmetic operations could be physically meaningful. a. B-A
b. A-B
c. A+B
d. AB
e. A/B

d. AB

e. A/B

Step-by-step explanation:

From the concept of homogeneity of dimension. The principle is that if two quantities occurs in the same direction, addition and subtraction of those two variable tends to occur but if two quantities occur in different direction, then we can only have either the division and multiplication of those quantities.

From the given information;

Suppose two quantities, A and B, have different dimensions.

The arithmetic operations  that could be physically meaningful are :

d. AB

e. A/B

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are

160

step-by-step explanation:

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