Why is it useful to get the diagonal of two vectors?

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I wanted to ask you why is it useful to get the diagonal of two vectors? E.g.: My vectors are (2,4) and (3,1); this means that the diagonal is (5,5). But why do I have to get it? Is it that useful?

https://www4d.wolframalpha.com/Calculate/MSP/MSP1012ea60167fc11c8800003g9e0172fdg0377i?MSPStoreType=image/gif&s=19

Thank you.