Find a vector a with representation given by the directed line segment ab. a (-2, 4), b (3, 5)

For this case what you should know is that the vector ab will be given by:

ab = b-a

We have then:

ab = (3, 5) - ( - 2, 4)

ab = ((3 - ( - 2)), (5-4))

ab = (5, 1)

Equivalently the vector is:

ab = 5i + 1j

Answer:

ab = 5i + 1j