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If E = (1, 1, 1) and F = (1, 2, 3), find E · F.

Practice Questions

Q1
If E = (1, 1, 1) and F = (1, 2, 3), find E · F.
  1. 1
  2. 2
  3. 3
  4. 6

Questions & Step-by-Step Solutions

If E = (1, 1, 1) and F = (1, 2, 3), find E · F.
  • Step 1: Identify the components of vector E, which are (1, 1, 1).
  • Step 2: Identify the components of vector F, which are (1, 2, 3).
  • Step 3: Multiply the corresponding components of E and F: 1 * 1.
  • Step 4: Multiply the second components: 1 * 2.
  • Step 5: Multiply the third components: 1 * 3.
  • Step 6: Add the results of the multiplications from Steps 3, 4, and 5: 1 + 2 + 3.
  • Step 7: Calculate the final sum: 1 + 2 + 3 = 6.
  • Dot Product – The dot product of two vectors is calculated by multiplying their corresponding components and summing the results.
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