My Learning Cart
?
Categories
Account

If A(1, 2, 3) and B(4, 5, 6) are two points in space, what is the vector AB?

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: If A(1, 2, 3) and B(4, 5, 6) are two points in space, what is the vector AB?

Options:

  1. (3, 3, 3)
  2. (2, 3, 4)
  3. (1, 1, 1)
  4. (0, 0, 0)

Correct Answer: (3, 3, 3)

Solution: 

Vector AB = B - A = (4-1, 5-2, 6-3) = (3, 3, 3).

If A(1, 2, 3) and B(4, 5, 6) are two points in space, what is the vector AB?

Practice Questions

Q1
If A(1, 2, 3) and B(4, 5, 6) are two points in space, what is the vector AB?
  1. (3, 3, 3)
  2. (2, 3, 4)
  3. (1, 1, 1)
  4. (0, 0, 0)

Questions & Step-by-Step Solutions

If A(1, 2, 3) and B(4, 5, 6) are two points in space, what is the vector AB?
Correct Answer: (3, 3, 3)
  • 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 point A from the coordinates of point 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).
  • Vector Representation – Understanding how to represent vectors in space using coordinates.
  • Vector Subtraction – Applying the concept of vector subtraction to find the vector from point A to point B.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks