Answer:
Step-by-step explanation:
a) Given:
u=[tex]\:<\:-4,8\:>[/tex]
v=<-7,5>
v-5u=<-7,5>-5<-4,8>
v-5u=<-7,5>+<20,-40>
v-5u=<-7+20,5-40>
v-5u=<13,-35>
b)
The magnitude of this vector is
||v-5u||=[tex]\sqrt{13^2+(-35)^2}[/tex]
||v-5u||=[tex]\sqrt{169+1225}[/tex]
||v-5u||=[tex]\sqrt{1394}[/tex]
||v-5u||=[tex]37.3units[/tex] to the nearest tenth
