If A = (2, 3) and B = (4, 5), what is the vector AB?

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Question: If A = (2, 3) and B = (4, 5), what is the vector AB?

Options:

Correct Answer: (2, 2)

Solution:

AB = B - A = (4 - 2, 5 - 3) = (2, 2)

If A = (2, 3) and B = (4, 5), what is the vector AB?

If A = (2, 3) and B = (4, 5), what is the vector AB?

Step 1: Identify the coordinates of point A, which are (2, 3).
Step 2: Identify the coordinates of point B, which are (4, 5).
Step 3: To find the vector AB, we need to subtract the coordinates of A from the coordinates of B.
Step 4: Perform the subtraction for the x-coordinates: 4 (from B) - 2 (from A) = 2.
Step 5: Perform the subtraction for the y-coordinates: 5 (from B) - 3 (from A) = 2.
Step 6: Combine the results from Step 4 and Step 5 to get the vector AB, which is (2, 2).

Vector Subtraction – The process of finding the vector from point A to point B by subtracting the coordinates of A from the coordinates of B.