If G = (1, 1, 1) and H = (2, 2, 2), what is G · H?

Practice Questions

Q1
If G = (1, 1, 1) and H = (2, 2, 2), what is G · H?
  1. 3
  2. 4
  3. 5
  4. 6

Questions & Step-by-Step Solutions

If G = (1, 1, 1) and H = (2, 2, 2), what is G · H?
  • Step 1: Identify the components of vectors G and H. G has components (1, 1, 1) and H has components (2, 2, 2).
  • Step 2: Multiply the corresponding components of G and H. This means you will multiply the first component of G by the first component of H, the second component of G by the second component of H, and the third component of G by the third component of H.
  • Step 3: Perform the multiplications: 1 * 2 = 2, 1 * 2 = 2, and 1 * 2 = 2.
  • Step 4: Add the results of the multiplications together: 2 + 2 + 2.
  • Step 5: Calculate the sum: 2 + 2 + 2 = 6.
  • Dot Product – The dot product of two vectors is calculated by multiplying their corresponding components and summing the results.
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