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What is the magnitude of the vector C = (6, 8, 10)?

Practice Questions

Q1
What is the magnitude of the vector C = (6, 8, 10)?
  1. 10
  2. 12
  3. 14
  4. 16

Questions & Step-by-Step Solutions

What is the magnitude of the vector C = (6, 8, 10)?
  • Step 1: Identify the components of the vector C. The vector C has three components: 6, 8, and 10.
  • Step 2: Square each component of the vector. Calculate 6^2, 8^2, and 10^2.
  • Step 3: Calculate 6^2 = 36, 8^2 = 64, and 10^2 = 100.
  • Step 4: Add the squared values together. Calculate 36 + 64 + 100.
  • Step 5: The sum is 200.
  • Step 6: Take the square root of the sum. Calculate √200.
  • Step 7: Simplify √200. It can be written as √(100 * 2) = √100 * √2 = 10√2.
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