given a = (3,-2) and b = (1,-1), find 2a+3b
To find 2a + 3b, we first need to perform scalar multiplication on vectors a and b.
2a = 2(3, -2) = (6, -4)
3b = 3(1, -1) = (3, -3)
Now, we can add the resulting vectors:
2a + 3b = (6, -4) + (3, -3) = (6+3, -4-3) = (9, -7)
Therefore, 2a + 3b = (9, -7).