Respuesta :
Answer: (a,b)= (7.13 ,-8.27)
Step-by-step explanation:
From the data, we have
A-B+3C=0
where, A= (-8.6, 18.0)
B= (12.8, -6.8)
and let C= (a, b)
So, putting values
(-8.6, 18.0) - (12.8, -6.8) + 3(a,b)=0
3(a,b) + (-21.4, 24.8) = 0
3(a,b)= (21.4, -24.8)
(a,b)= (7.13 ,-8.27)
In this exercise we have to use the knowledge of vectors to calculate the components of C, in this way we can say that:
[tex](a,b)= (7.13 ,-8.27)[/tex]
From the data, we have:
[tex]A-B+3C=0[/tex]
where,
- [tex]A= (-8.6, 18.0)[/tex]
- [tex]B= (12.8, -6.8)[/tex]
Computing the component of C, we find:
[tex](-8.6, 18.0) - (12.8, -6.8) + 3(a,b)=0\\ 3(a,b) + (-21.4, 24.8) = 0\\ 3(a,b)= (21.4, -24.8)\\ (a,b)= (7.13 ,-8.27)[/tex]
See more about vectores at brainly.com/question/13188123