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If A(1, 2, 3) and B(4, 5, 6) are two points, what is the vector AB?
If A(1, 2, 3) and B(4, 5, 6) are two points, what is the vector AB?
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Practice Questions
1 question
Q1
If A(1, 2, 3) and B(4, 5, 6) are two points, what is the vector AB?
(3, 3, 3)
(3, 3, 0)
(0, 0, 0)
(1, 1, 1)
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Vector AB = B - A = (4-1, 5-2, 6-3) = (3, 3, 3).
Questions & Step-by-step Solutions
1 item
Q
Q: If A(1, 2, 3) and B(4, 5, 6) are two points, what is the vector AB?
Solution:
Vector AB = B - A = (4-1, 5-2, 6-3) = (3, 3, 3).
Steps: 7
Show Steps
Step 1: Identify the coordinates of point A, which are (1, 2, 3).
Step 2: Identify the coordinates of point B, which are (4, 5, 6).
Step 3: To find vector AB, we need to subtract the coordinates of A from the coordinates of B.
Step 4: Calculate the x-component of vector AB: 4 (from B) - 1 (from A) = 3.
Step 5: Calculate the y-component of vector AB: 5 (from B) - 2 (from A) = 3.
Step 6: Calculate the z-component of vector AB: 6 (from B) - 3 (from A) = 3.
Step 7: Combine the components to form vector AB: (3, 3, 3).
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