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Why is adding subtracting and equating quantities possible only if they have the same dimension?
If they are not on the same dimension then you cannot do this. They will be different numbers and will not go together.
Must two quantities have the same dimension if you are adding them?
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.
Can one always add two numbers that have the same dimension?
Yes, two numbers can always be added if they have the same dimension, meaning they belong to the same unit or category, such as length, weight, or time. For example, you can add 5 meters to 3 meters to get 8 meters. However, you cannot add numbers of different dimensions, like 5 meters and 3 seconds, as they represent different quantities and units.
How do you find the dimension of a box?
Length multiplied by the height multiplied by the width Example: Box#1 Width 2cm Height4cm Length6cm 2*4*6=8*6 or 48cm cubed
Can matrices of the same dimension be multiplied?
No. The number of columns of the first matrix needs to be the same as the number of rows of the second.So, matrices can only be multiplied is their dimensions are k*l and l*m. If the matrices are of the same dimension then the number of rows are the same so that k = l, and the number of columns are the same so that l = m. And therefore both matrices are l*l square matrices.
Why is adding subtracting and equating quantities possible only if they have the same dimension?
If they are not on the same dimension then you cannot do this. They will be different numbers and will not go together.
How many square meter makes a meter?
you cannot compare these two quantities as they have a different dimension
Must two quantities have the same dimension if you are adding them?
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.
What is the significance of the dimension of physical quantities in the field of physics?
The dimension of physical quantities in physics is significant because it helps in understanding and analyzing the relationships between different physical quantities. By assigning dimensions to quantities such as length, time, mass, and others, physicists can create equations that accurately describe the behavior of natural phenomena. This allows for precise measurements, calculations, and predictions in various scientific fields.
What is the dimension of 27 83?
The answer will depend on (a) whet the dimensions of the two quantities are, and (b) what the missing operator between the two quantities is.
If only one dimension of a shape is doubled what is the volume multiplied by?
2
What is the dimension of force if density and frequency and acceleration due to gravity are the bare quantities?
Frequency and density aren't involved as 'bare quantities' in force. The bare quantities that constitute force are mass, length, and time, and the physical dimension of force is (mass) x (length)/(time)2 . The 'length' and 'time' combine to result in (length)/(time)2, and that's the 'acceleration' that you did include.
Is heaven invisible?
It is a different dimension; a different universe. You can only view the dimension you are presently in.
Can a 3 X 5 matrix be multiplied by a 3 X 5 matrix?
No it can't !!!Matrix property: A matrix A of dimension [nxm] can be multiplied by another B of dimension [ txs] m=t.m=t => there exist a C = A.B of dimension [nxs].Observe that given [3x5] and [3x5], 5!=3(not equal to) so you can't!
Why does efficiency have no dimension?
Efficiency is a ratio of the same quantities. Usually, output power / input power. As the numerator and denominator have the same quantities, the dimensions cancel each other out.
What is dimension of impulse?
The dimension of impulse is[ force x time ] = [ mass x length x time / time-squared ] = [ mass x length / time ] = momentum
What is the dimension of charge?
The dimension of charge is current multiplied by time. It is typically expressed in coulombs (C), where 1 coulomb is equivalent to 1 ampere-second.
