anonymous
  • anonymous
The vector u = (3900, 5300) gives the number of units of two models of laptops produced by a company. The vector v = (2000, 1100) gives the prices (in dollars) of the two models of laptops, respectively. Identify the vector operation used to increase revenue by 5%.
Mathematics
katieb
  • katieb
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amistre64
  • amistre64
what vector operation whould we perform on these?
anonymous
  • anonymous
dot product?
amistre64
  • amistre64
thats a vector operation fer sure; but is it applicable:)

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amistre64
  • amistre64
i dont know if we add them of what lol
anonymous
  • anonymous
well my guess is I have to do something to find magnitude....
amistre64
  • amistre64
dot product doesnt give a magnitude per se; just a scalar amount
anonymous
  • anonymous
it fels empty without you amistre
amistre64
  • amistre64
lol.... um.. glad to hear :)
amistre64
  • amistre64
it should at least feel quezy now that im back :
anonymous
  • anonymous
you gobble up medals like hell
amistre64
  • amistre64
just call me pac-man lol
amistre64
  • amistre64
we can create linear representations maybe?
anonymous
  • anonymous
oh ok...
amistre64
  • amistre64
2000 for a laptop, is that what im reading?
anonymous
  • anonymous
I think V has two prices for two different laptops
amistre64
  • amistre64
right, but the vector itself is an arrow with a slope of y/x... its component parts
anonymous
  • anonymous
ok I gotcha... so the 3900 laptops cost 2000
amistre64
  • amistre64
i cant parse the question tho... how much revenue was made in order to know how much 5% of an increase is....
amistre64
  • amistre64
yes
amistre64
  • amistre64
revenue = number sold * price per unit right?
anonymous
  • anonymous
uhm.. idk it doesn't say... but yes revenue does equal that A) u.(1.05)llvll B) 1.05(u.v) C) 1.05llu.vll D) 1.05llull.v E) 1.05(u+v)
amistre64
  • amistre64
that helps :) 1.05 is the amount you would normal multiply by to find the total paid for something..
amistre64
  • amistre64
B makes no sense; since dpt product doesnt produce another vector..
amistre64
  • amistre64
A makes no sense since you cant dot product to a number
anonymous
  • anonymous
right....I still don't really get the 1.05 thing but that's ok I guess
amistre64
  • amistre64
c is asking for the magnitude of a scalar number which is pointless
anonymous
  • anonymous
E? that would be my guess
amistre64
  • amistre64
E is the only one that makes sense to me as far as vectot operations go
anonymous
  • anonymous
ok That's what i had down , but wasn't sure Thank you....
amistre64
  • amistre64
when will you know if its right :)
anonymous
  • anonymous
Uhm idk when I turn it in I guess... I have six more problems to work through with dot product and vectors and what not
anonymous
  • anonymous
I think it might be d actually.
anonymous
  • anonymous
Oh wait, no. I misread that
anonymous
  • anonymous
B makes the most sense to me. (u.v) would be the revenue (the quantities of each laptop produced times that laptop's price). So 1.05*(u.v) would increase the revenue by 5%.
anonymous
  • anonymous
Unit analysis comes in handy here. u.v = . < money/quantity, money/quantity> = (quantity * money/quantity) + (quantity * money/quantity) = money u+v = . < money/quantity, money/quantity> = Which doesn't really make sense for revenue to be a vector.
amistre64
  • amistre64
doesnt (u.v) represent a vector produced from a scalar amount tho? not quite sure how to read the notation
anonymous
  • anonymous
ya you were right it was b....
anonymous
  • anonymous
The dot product of vectors is a scalar.

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