Yes they must be in the same units of measurements.
In mathematics, two quantities are said to be in units agreement if they have the same units of measure. For example, if two quantities are both measured in meters, then they are in units agreement. If one quantity is measured in meters and the other is measured in centimeters, then they are not in units agreement.
You can subtract them or divide them. If you subtract them, the result is their difference. If you divide them, the result is their ratio.
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.
No. Measurement units are defined by and conversely. So the same units necessarily means same dimensions.
No, it is not true.
Yes they must be in the same units of measurements.
In mathematics, two quantities are said to be in units agreement if they have the same units of measure. For example, if two quantities are both measured in meters, then they are in units agreement. If one quantity is measured in meters and the other is measured in centimeters, then they are not in units agreement.
First the units of the two quantities should have the same category, e.g length units, or mass units, etc. Second: to convert the unit of one quantity to the same unit of the another quantity. third: to perform the comparison.
If you intend 'dimensions' to mean units then whenever the two quantities are to be operated on each other then they must have the 'dimensions', refer to dimensional analysis
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ratios
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.
You can subtract them or divide them. If you subtract them, the result is their difference. If you divide them, the result is their ratio.
No. Measurement units are defined by and conversely. So the same units necessarily means same dimensions.
A rate.
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