The Solution:
Given:
[tex]\begin{gathered} e=8i-6j \\ f=4i+11j \end{gathered}[/tex]Required:
Find 5f - 2e
[tex]5f=5(4i+11j)=20i+55j[/tex][tex]2e=2(8i-6j)=16i-12j[/tex][tex]5f-2e=20i+55j-(16i-12j)=20i+55j-16i+12j[/tex][tex]5f-2e=(20-16)i+(55+12)j=4i+67j[/tex]
Answer:
[tex]4i+67j[/tex]