Given : [tex]u = (-4,7)\text{ and } v= (5,2)[/tex] [ Since the value of v is not mentioned , so we assumed y to be v to elaborate the procedure to solve the question)
To evaluate : a. u+v
b. u-v
c. -4u
d. 3u - 60
e. 2u+v-4u
a. [tex]u+v = (-4,7)+(5,2)= (-4+5, 7+2)=(1,9) \ [\because (a,b)+(c,d)=(a+c,b+d)][/tex]
b. [tex]u-v = (-4,7)-(5,2)= (-4-5, 7-2)=(-9,5) [\becausek(a,b)=(ka,kb)][/tex]
c. [tex]-4u= -4(-4,7)=(-4\times-4,-4\times7)=(16,-28)[/tex]
d. [tex]3u - 60= 3(-4,7)-(6,0)=(-12,21)-(6,0)=(-12-6,21-0)=(-18,21)[/tex]
e. [tex]2u+v-4u= 2u-4u+v=-2u+v=-2(-4,7)+(5,2)=(8,-14)+(5,2)=(13,-12)[/tex]
