Answer:
[tex]-3u + 5g =-58i -25j[/tex]
Step-by-step explanation:
Given
[tex]u = 6i - 10j[/tex]
[tex]g=-8i - 11j[/tex]
Required
[tex]-3u + 5g[/tex]
We have:
[tex]-3u + 5g[/tex]
This gives:
[tex]-3u + 5g = -3(6i - 10j) + 5(-8i - 11j)[/tex]
Open bracket
[tex]-3u + 5g = -18i + 30j - 40i - 55j[/tex]
Collect like terms
[tex]-3u + 5g = -18i - 40i+ 30j - 55j[/tex]
[tex]-3u + 5g =-58i -25j[/tex]