Why Can't You Always Add Numbers with the Same Dimensions?

[oreocookie]

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?

 

[alphysicist]

Hi oreocookie,

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?

Please post your thoughts on these questions, and then we'll know how to help.