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Must two quantities have the same dimensions when subtracting them?
Yes they must be in the same units of measurements.
What does units agree mean?
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.
What is to compare two quantities that have the same type of units?
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.
Is it possible for two quantities to have the same dimensions but different units?
No. Measurement units are defined by and conversely. So the same units necessarily means same dimensions.
When two quantities are equal?
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.
Must two quantities have the same dimensions when subtracting them?
Yes they must be in the same units of measurements.
Is it true that two quantities having the same dimensions must be measured in the same units?
No, it is not true.
What does units agree mean?
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.
What is a comparison of two quantities that have different units?
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.
Must two quantities have the same dimensions?
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
What requirements must be met by two physical quantities when they are added together?
When two physical quantities are added together, they must have the same units in order to be combined. This means that both quantities must be expressed in the same type of measurement, such as meters or kilograms, for the addition to be valid.
A way to compare two quantities that are measured in the same units by using division?
hit dat botty dew
What is a comparison of two quantities with different units?
ratios
What is to compare two quantities that have the same type of units?
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.
Is it possible for two quantities to have the same dimensions but different units?
No. Measurement units are defined by and conversely. So the same units necessarily means same dimensions.
When two quantities are equal?
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.
What is a ratio that compares two quantities with two kinds of units?
A rate.
