Question

Let u = <-6, 3>, v = <-1, -6>. Find 4u + 2v.

Answer 1

@mathmale

Answer 2

you have
\[4 \cdot <-6,3>+2 \cdot <-1,-6>\]
just scale the vectors by the scalars in then add the i components
and then add your j components

Answer 3

\[c<a,b>=<ca,cb>\]

Answer 4

\[<u_1,v_1>+<u_2,v_2>=<u_1+u_2,v_1+v_2>\]

Answer 5

I'm not exactly sure what to do... the practice tests gives options but i'm not very good at this skill. can you help me threw it? @myininaya

Answer 6

<-26, -3>

<-22, 24>

<-26, 0>

<-28, -12>

Answer 7

do 4 times -6
do 4 time 3

Answer 8

-24
12

Answer 9

\[4<-6,3>+2<-1,-6>\]
\[<-24,12>+2<-1,-6>\]
any idea what to do with that 2 in front of that other vector?

Answer 10

no idea... multiply into it?

Answer 11

yes
the same thing we did with the other vector
didn't we take the 4 in multiply to each of the components in the < >

Answer 12

yep :D so it would be <-24,12> <-2,-12>

Answer 13

what happened to the plus sign in between?

Answer 14

oh ok, <-24,12>+<-2,-12>

Answer 15

now try to apply this:
\[<u_1,v_1>+<u_2,v_2>=<u_1+u_2,v_1+v_2> \]