The discussion centers on the mathematical principles governing the addition of numbers with the same dimensions and the properties of vectors. It is established that while two numbers with the same units can be added, numbers with the same dimensions may not be directly additive due to differing contexts or physical interpretations. An example is provided where adding force and mass, both having the dimension of mass, is invalid. Additionally, it is clarified that two nonzero perpendicular vectors cannot sum to zero, as their resultant vector will always have a magnitude greater than zero.
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oreocookie said:Homework Equations
1. You can always add two numbers that have the same units. HOwever, you cannot always add two numbers that have the same dimensions. Explain why not, and include an example in your explanation.
2. Can two nonzero perpendicular vectors be added together so their sum is zero? Explain.
3. I'm not really sure what the question is asking me. Can someone help?