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

Practice Questions

Q1
If A = (2, 3) and B = (4, 5), what is the vector AB?
  1. (2, 2)
  2. (2, 3)
  3. (4, 5)
  4. (6, 8)

Questions & Step-by-Step Solutions

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.
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