Answer:
(13, -8, 5)
Step-by-step explanation:
Given
[tex]u = (5,-2,3)\\and\\v = (1,1,2)[/tex]
We have to find 3u-2v
So,
[tex]3u = 3(5,-2,3)\\3u= (15,-6,9)\\\\And\\\\2v= 2(1,1,2)\\2v= (2,2,4)\\\\3u-2v = (15,-6,9) - (2,2,4)\\= (15-2, -6-2 , 9-4)\\= (13, -8, 5)[/tex]
The ordered triple that represents 3u-2v is:
(13, -8, 5) ..
