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%.

- anonymous

- katieb

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- amistre64

what vector operation whould we perform on these?

- anonymous

dot product?

- amistre64

thats a vector operation fer sure; but is it applicable:)

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## More answers

- amistre64

i dont know if we add them of what lol

- anonymous

well my guess is I have to do something to find magnitude....

- amistre64

dot product doesnt give a magnitude per se; just a scalar amount

- anonymous

it fels empty without you amistre

- amistre64

lol.... um.. glad to hear :)

- amistre64

it should at least feel quezy now that im back :

- anonymous

you gobble up medals like hell

- amistre64

just call me pac-man lol

- amistre64

we can create linear representations maybe?

- anonymous

oh ok...

- amistre64

2000 for a laptop, is that what im reading?

- anonymous

I think V has two prices for two different laptops

- amistre64

right, but the vector itself is an arrow with a slope of y/x... its component parts

- anonymous

ok I gotcha... so the 3900 laptops cost 2000

- amistre64

i cant parse the question tho... how much revenue was made in order to know how much 5% of an increase is....

- amistre64

yes

- amistre64

revenue = number sold * price per unit right?

- 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

that helps :)
1.05 is the amount you would normal multiply by to find the total paid for something..

- amistre64

B makes no sense; since dpt product doesnt produce another vector..

- amistre64

A makes no sense since you cant dot product to a number

- anonymous

right....I still don't really get the 1.05 thing but that's ok I guess

- amistre64

c is asking for the magnitude of a scalar number which is pointless

- anonymous

E? that would be my guess

- amistre64

E is the only one that makes sense to me as far as vectot operations go

- anonymous

ok That's what i had down , but wasn't sure Thank you....

- amistre64

when will you know if its right :)

- 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

I think it might be d actually.

- anonymous

Oh wait, no. I misread that

- 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

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

doesnt (u.v) represent a vector produced from a scalar amount tho? not quite sure how to read the notation

- anonymous

ya you were right it was b....

- anonymous

The dot product of vectors is a scalar.

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