What is the component form of a resultant 4b-2a? a=(6,-2) b=(-5,2)

Answer 1

I think a good trick for vectors problems is to do the components separately.

For the x component: a=6 and b=–5, so 4b-2a = –32

For the y component: a=–2 and b=2, so 4b-2a = 12

Now put x and y back together: <–32, 12>