bbarlow6816 bbarlow6816
  • 08-03-2019
  • Mathematics
contestada

if u=<-4,8> and v=<-7,5>, v-5u= ? and ||v-5u|| is approximately?

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 17-03-2019

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

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