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What is the magnitude of the vector (3, 4)?

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Question: What is the magnitude of the vector (3, 4)?

Options:

  1. 5
  2. 7
  3. 6
  4. 4

Correct Answer: 5

Solution: 

Magnitude = √(3^2 + 4^2) = √(9 + 16) = √25 = 5

What is the magnitude of the vector (3, 4)?

Practice Questions

Q1
What is the magnitude of the vector (3, 4)?
  1. 5
  2. 7
  3. 6
  4. 4

Questions & Step-by-Step Solutions

What is the magnitude of the vector (3, 4)?
  • Step 1: Identify the components of the vector. The vector (3, 4) has two components: 3 and 4.
  • Step 2: Square each component. Calculate 3^2 which is 9, and 4^2 which is 16.
  • Step 3: Add the squared values together. Add 9 and 16 to get 25.
  • Step 4: Take the square root of the sum. Calculate √25 which equals 5.
  • Step 5: The magnitude of the vector (3, 4) is 5.
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