given >g = (3, - 5) and >h = (-2, 3) find 2>g - 2>h.

To find 2>g - 2>h, first multiply g and h by 2:

2>g = 2(3, -5) = (6, -10)
2>h = 2(-2, 3) = (-4, 6)

Now subtract 2>h from 2>g:

2>g - 2>h = (6, -10) - (-4, 6)
= (6 + 4, -10 - 6)
= (10, -16)

Therefore, 2>g - 2>h = (10, -16).