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

9<-5, 1> - 6<7, -4>
= <-45, 9> - <42, -24>
= <-45, 9> + <-42, 24>
= <-87, 33>

u = <-5, 1>. 9u = 9<-5,1> = <9*-5, 9*1> = <left for you>.

Now do the same for v & 6v

Then perform the subtraction of the two above; 9u-6v.

Show your steps & answers here if need be.



Hopefully no one will spoil you the answer thereby depriving you from your personal enhancement; that would be very inconsiderate of them

rule:
If u=<a,b> , v = <c,d> , m , n ∈ R
then
mu+nv = <ma+nc , mb+nd>

-5 ≤ u < 1
-4 < v ≤ 7
if i was right

9u
-45 ≤ 9u < 9

-6v
24 > -6v ≥ -42 ....... multiplying negative changes direction

now

-45 ≤ 9u < 9
42 ≤ -6v < 24

add together
-3 ≤ 9u - 6v < 33 ◄◄◄

u = - 5i + j
v = 7i - 4j

9u - 6v = - 45i + 9j - 42i + 24j
9u - 6v = - 87i + 33j

9u - 6v
= <-45,9> - <42, -24>
= <-87, +15>

<-51, 33>