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If A = (2, 3) and B = (4, 7), find the vector AB.
If A = (2, 3) and B = (4, 7), find the vector AB.
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Practice Questions
1 question
Q1
If A = (2, 3) and B = (4, 7), find the vector AB.
(2, 4)
(2, 3)
(2, 1)
(2, 2)
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Vector AB = B - A = (4 - 2, 7 - 3) = (2, 4).
Questions & Step-by-step Solutions
1 item
Q
Q: If A = (2, 3) and B = (4, 7), find the vector AB.
Solution:
Vector AB = B - A = (4 - 2, 7 - 3) = (2, 4).
Steps: 6
Show Steps
Step 1: Identify the coordinates of point A, which are (2, 3).
Step 2: Identify the coordinates of point B, which are (4, 7).
Step 3: To find vector AB, subtract the coordinates of A from the coordinates of B.
Step 4: For the x-coordinate, calculate 4 (from B) - 2 (from A) = 2.
Step 5: For the y-coordinate, calculate 7 (from B) - 3 (from A) = 4.
Step 6: Combine the results from Step 4 and Step 5 to get vector AB = (2, 4).
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