Answer:
v-5u = <13,-35>
||v − 5u|| = 37.33
Step-by-step explanation:
If u = <-4, 8> and v = <-7, 5>
a) v-5u
Multiply u with 5 and then subtract from v
v-5u = <-7,5>-5<-4,8)>
v-5u = <-7,5> - <-20,40>
v-5u = <-7+20,5-40>
v-5u = <13,-35>
b) ||v − 5u||
We already have found v-5u=<13,-35>
Now, we will find ||v − 5u|| = [tex]\sqrt{(v)^2+(u)^2}[/tex]
||v − 5u|| = [tex]\sqrt{(13)^2+(-35)^2}[/tex]
||v − 5u|| = [tex]\sqrt{169+1225}[/tex]
||v − 5u|| = [tex]\sqrt{1394}[/tex]
||v − 5u|| = 37.33
