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What is the magnitude of the vector (2, -3, 6)?

Practice Questions

Q1
What is the magnitude of the vector (2, -3, 6)?
  1. 7
  2. 9
  3. 8
  4. 5

Questions & Step-by-Step Solutions

What is the magnitude of the vector (2, -3, 6)?
Correct Answer: 7
  • Step 1: Identify the components of the vector. The vector is (2, -3, 6), which has three components: 2, -3, and 6.
  • Step 2: Square each component of the vector. Calculate 2^2, (-3)^2, and 6^2.
  • Step 3: Calculate 2^2 = 4.
  • Step 4: Calculate (-3)^2 = 9.
  • Step 5: Calculate 6^2 = 36.
  • Step 6: Add the squared values together. So, add 4 + 9 + 36.
  • Step 7: Calculate the sum: 4 + 9 = 13, and then 13 + 36 = 49.
  • Step 8: Take the square root of the sum. Calculate √49.
  • Step 9: Find the square root of 49, which is 7.
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