Final answer:
The sum of the two vectors (5,-3) and (2, 2) is found by adding the corresponding components, resulting in the vector (7, -1), which is option (b).
Step-by-step explanation:
The question asks to write the sum of the two vectors as an ordered pair. The two vectors given are (5,-3) and (2, 2). To find the sum of these two vectors, we add the corresponding components of the vectors: the x-components (first numbers) together and the y-components (second numbers) together.
Therefore, the sum of the x-components is 5 + 2 = 7, and the sum of the y-components is -3 + 2 = -1. Hence, the resultant vector is (7, -1), which corresponds to option (b).
To clarify the process using vector addition:
Add the x-components of the vectors: 5 (from the first vector) + 2 (from the second vector) = 7.
Add the y-components of the vectors: -3 (from the first vector) + 2 (from the second vector) = -1.