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burhan101 Group Title

Express the shortest vector as the sum or difference of two vectors

  • one year ago
  • one year ago

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  1. burhan101 Group Title
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    |dw:1360027838692:dw|

    • one year ago
  2. daniel987600 Group Title
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    \[\vec{u} - \vec{v} \textrm{ (aka $\vec{w}$)}\]

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  3. burhan101 Group Title
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    how do you kow that ?

    • one year ago
  4. burhan101 Group Title
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    like how do you know it's subtraction and not addition :S

    • one year ago
  5. daniel987600 Group Title
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    So when you add vectors, you put them tail to head and tail to head. An example of this in your picture is v and w summed together make u. When you subtract vectors, you put them starting from the same point and connect the heads. An example of this is v subtracted from u which makes w. Since there are only 3 vectors and you can combine only two of them, I brute forced all of the combinations, and based on your pictures, it seemed as through the solution I gave was best. However, with differently scaled vectors, one achieves different results.

    • one year ago
  6. burhan101 Group Title
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    Thank you so much, you just made my life a lot easier !

    • one year ago
  7. burhan101 Group Title
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    |dw:1360030795512:dw|

    • one year ago
  8. burhan101 Group Title
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    AB+CB=AC ? would this be right

    • one year ago
  9. daniel987600 Group Title
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    That's definitely correct. If you are looking for the shortest vector however, I would find something that returns AB. If not, great job!

    • one year ago
  10. burhan101 Group Title
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    AB= AC+CB

    • one year ago
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