- anonymous

r(t)=(1-t)<-2,-1>+t<1,2>
the answer is < -2+3t,-1+3t> but i can't understand how can we do this calculation

- jamiebookeater

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- amistre64

multiply ?

- anonymous

(-2(1-t), -1(1-t)) +(t, 2t)

- anonymous

no

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## More answers

- anonymous

ordered pairs.. what i guessed

- anonymous

=(-2+2t+t,-1+t+2t)
=(-2+3t, -1+3t)

- amistre64

i cant make out what the quaestion is asking for lol

- amistre64

maybe its the addition of 2 vectors from initial points? or the distance between then or something....

- amistre64

scalars and addition....ok got it

- anonymous

it is in line integral notes

- amistre64

it is vector notation.
the () are equations to calculate the scalar functions of each vector; hence(1-t) and (t) cahnge the size of the arrow that represents each vector..

- amistre64

6<2,3> is an arrow from the origin to a point (2,3); the scalar says to multiply those values by 6 in this case...
<6(2),6(3)> = <12,18>which is an arrow from the origin to a point (12,18)

- amistre64

(1-t)<-2,-1> means to scale the vector by whats in the ():
<-2(1-t),-1(1-t)> = <-2+t,-1+t>

- amistre64

vector t<1,2> is scaled to :
<1t,2t>.... now add the vectors together

- amistre64

<-2+t, -1+t>
< 1t , 2t >
-------------
<-2t+2t, -1+3t>

- amistre64

gotta read thru the typos lol

- anonymous

now u really need some vitamin :P

- anonymous

-2(1-t) why that's answer isn't -2+2t :S you write -2+t

- anonymous

oh yes... i mistake, u r right

- amistre64

you gotta read it for what it is; not for the typos in it lol

- amistre64

if i type 2+6=9....you gotta have sense enough to understand that im an idiot and look past the fat fingers to the message itself lol

- anonymous

how sweet ..... suppose u r a teacher, n marking the scripts, underlining the mistakes, n get the same reply from the student ;)

- anonymous

just kidding :P

- anonymous

here most of the things must be understood :)

- amistre64

lol

- anonymous

i think my question can't replied but thanks

- anonymous

oh no... u may ask where r u confused

- anonymous

just go on :)

- amistre64

If you know about vectors and scalars of vectors and addition of vectors; then the question is answered...

- amistre64

n + m

- anonymous

thanks:D

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