Given vectors u and v find 4u 4u 7v v 7u u 28 v 60 4u

Given vectors u and v, find 4u 4u + 7v v - 7u. u = (2,8), v = (6,0) 4u = () 4u + 7v = () v - 7u = ()

Solution

(a) If u = <2,8>

      4u = <4*2, 4*8> = <8, 32>

(b) 4u = <4*2, 4*8> = <8, 32>

     7v = <7*6, 7*0> = <42,0>

So, 4u + 7v = <8+42 , 32+0>

      4u + 7v = <50, 32>

(c) 7u = <7*2, 7*8>

     7u = <14, 56>

     v - 7u = <6-14, 0-56>

     v - 7u = <-8, -56>