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Scalar quantities are equal if they have the same magnitude: if the numbers describing them, including units, are the same. The reason for specifying "including units" is that 1 inch is not equal to 1 kilometre even though the numbers describing the two lengths are equal.

Vectors, such as velocity or acceleration or force, are equal if their magnitudes as well as their direction are the same.

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Q: When two quantities are equal?
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