Question

Consider three displacement vectors, D = (5.8 m, -6.5 m), B = (-9.1 m, 2.1 m), and A = (22 m, 18.3 m). There exist scalars a and b such that aD + bB + A = 0.
What is a?
What is b?

Answer 1

a( (5.8 m, -6.5 m)+b( (-9.1 m, 2.1 m)+(22 m, 18.3 m)=0

this implies
5.8a-9.1b =-22 and
-6.5a+2.1b=-18.3
solve then by any number of methods you know.