Question

Let u = <-5, 1>, v = <7, -4>. Find 9u - 6v.

Answer 1

constant times a vector is a vector

c*<a,b> = <c*a, c*b>

Answer 2

vector addition
<a,b> + <c,d> = <a+c , b+d>

Answer 3

9u - 6v =
9*<-5, 1> + (-6)*<7,-4> = ...

Answer 4

i'm trying to solve..

Answer 5

=
<-45, 9> + <-42, 24> =...

Answer 6

oh, it would be distribution? I didn't know if it would be different because of the signs. Sorry, I'm new to this!

Answer 7

constant times a vector is a vector
c*<a,b> = <c*a, c*b>

Answer 8

so if it's addition, it would be <-45, -42> <9,24>?

Answer 9

<-45, 9> + <-42, 24> =

<-45 - 42 , 9 + 24> = ...

Answer 10

vector addition
<a,b> + <c,d> = <a+c , b+d>