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Express the shortest vector as the sum or difference of two vectors
 one year ago
 one year ago
Express the shortest vector as the sum or difference of two vectors
 one year ago
 one year ago

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burhan101Best ResponseYou've already chosen the best response.0
dw:1360027838692:dw
 one year ago

daniel987600Best ResponseYou've already chosen the best response.1
\[\vec{u}  \vec{v} \textrm{ (aka $\vec{w}$)}\]
 one year ago

burhan101Best ResponseYou've already chosen the best response.0
how do you kow that ?
 one year ago

burhan101Best ResponseYou've already chosen the best response.0
like how do you know it's subtraction and not addition :S
 one year ago

daniel987600Best ResponseYou've already chosen the best response.1
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

burhan101Best ResponseYou've already chosen the best response.0
Thank you so much, you just made my life a lot easier !
 one year ago

burhan101Best ResponseYou've already chosen the best response.0
dw:1360030795512:dw
 one year ago

burhan101Best ResponseYou've already chosen the best response.0
AB+CB=AC ? would this be right
 one year ago

daniel987600Best ResponseYou've already chosen the best response.1
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
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