Question

Select the correct answer from each drop-down menu. If u = <-4, 8> and v = <-7, 5>, v − 5u = and ||v − 5u|| ≈ .

Answer 1

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|| = $\sqrt{(v)^2+(u)^2}$

||v − 5u|| = $\sqrt{(13)^2+(-35)^2}$

||v − 5u|| = $\sqrt{169+1225}$

||v − 5u|| = $\sqrt{1394}$

||v − 5u|| = 37.33