Vectors AB and CD are shown in the standard (x,y) coordinate plane below

Vectors AB and CD are shown in the standard (x,y) coordinate plane below. One of the following is the unit vector notation of the vector AB + CD. Which one?

1. -6i + 3j
2. 3i - 1j
3. 3i + 9j
4. 9i + 1j
5. 9i + 11j

Answer

The correct answer is E.

Point A has coordinates (-6,-2) and Point B has coordinates (3,4), so the component form of AB is (9,6).

AB = 9i + 6j

Point C has coordinates (4,-2) and Point D has coordinates (4,3), so the component form of CD is (0,5).

CD = 0i + 5j

AB + CD = 9i + 11j