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anonymous

  • 4 years ago

Can anyone help me prove proerties of vectors?

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  1. anonymous
    • 4 years ago
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    prove that u+v is a vector in R^n

  2. cristiann
    • 4 years ago
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    u=(u1,...,un), v=(v1,...vn)=>u+v=(u1+v1,...un+vn) since each vector has real coordinates and the sum of two real numbers is a real number (closure property) it follows u+v in Rn

  3. anonymous
    • 4 years ago
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    Hey that was awesome. LOL stick around I have 10 properties to prove and I suck at proving

  4. anonymous
    • 4 years ago
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    umm I have another one lol

  5. anonymous
    • 4 years ago
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    u+v=v+u and we r disussing vectors in r^n

  6. cristiann
    • 4 years ago
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    True, because of the commutativity property of real numbers (following the previous line of reasoning)

  7. anonymous
    • 4 years ago
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    ya but i have to prove it and like how wld i do that

  8. cristiann
    • 4 years ago
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    u=(u1,...,un), v=(v1,...vn)=>u+v=(u1+v1,...un+vn) v+u=(v1+u1,...vn+un) for each k, uk+vk=vk+uk (in real numbers) because of commutativity So u+v=v+u

  9. anonymous
    • 4 years ago
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    Thanks :D

  10. cristiann
    • 4 years ago
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    welcome :)

  11. anonymous
    • 4 years ago
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    I need help with another one but maaybe i will do it another post so i can give u more medals :D

  12. cristiann
    • 4 years ago
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    Not that interested in medals ... :) but you should try them for yourself... I should show you how to fish, not to fish in your place ...:)

  13. anonymous
    • 4 years ago
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    heehe

  14. anonymous
    • 4 years ago
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    lol i am figuring this one out on my own :D

  15. cristiann
    • 4 years ago
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    :) maybe you should put the question in the form "is this correct?"

  16. anonymous
    • 4 years ago
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    hehe ya i will do that for the next one :D

  17. anonymous
    • 4 years ago
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    I did like 4 on my own :D lol

  18. anonymous
    • 4 years ago
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    but now I am stuck Prove that cu is a vector in R^n

  19. cristiann
    • 4 years ago
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    u=(u1,...,un), c in R, then cu=(cu1,...,cun), vector because the multiplication of two real numbers is a real number

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