If 3(a,3,2)-2(3,b,b)=(-3,1,-2) determine a and b. Describe the set spanned by the vectors.
I don't know how to answer this
vectors are just a compact way of describing three independent sets of numbers. You just have
3a-6 = -3
9-2b = 1
6-2b = -2
clearly, a=1, and any value of b will work.
since (1,3,2) and (3,b,b) are not collinear, they span R2.