What is the principle behind the principle of homogeneity of dimensions?

Explanation

**Step-by-Step Solution:**

1. **Understanding the Principle of Homogeneity of Dimensions:**
The principle of homogeneity of dimensions states that in any physical equation, all terms must have the same dimensional formula. This means that when you write an equation, the dimensions on both sides must match.

2. **Law of Homogeneity:**
According to this principle, only those physical quantities that have the same dimensional formula can be compared, equated, added, or subtracted. This is crucial in ensuring that the mathematical operations performed on these quantities are valid.

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