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.
No. Measurement units are defined by and conversely. So the same units necessarily means same dimensions.
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.
Yes they must be in the same units of measurements.
No, it is not true.
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
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.
hit dat botty dew
No. Measurement units are defined by and conversely. So the same units necessarily means same dimensions.
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.
ratios
Yes, two quantities must have the same dimension in order to be added together. This is because addition involves combining like terms, and only quantities with the same dimensional units can be meaningfully combined. For example, you cannot add meters and seconds, as they represent different dimensions.