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Yes, that's true. Basically you can multiply and divide them; but you can't add, subtract, or compare them.

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Q: Is it true that two quantities having different dimension can be multiplied but they cannot be subtracted?
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Related questions

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?

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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 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.


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Is the dimension of the frequency match the dimension of the force?

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