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If u = (1, 2) and v = (3, 4), what is the dot product u · v?

Practice Questions

Q1
If u = (1, 2) and v = (3, 4), what is the dot product u · v?
  1. 10
  2. 11
  3. 12
  4. 7

Questions & Step-by-Step Solutions

If u = (1, 2) and v = (3, 4), what is the dot product u · v?
  • Step 1: Identify the components of vector u, which are 1 and 2.
  • Step 2: Identify the components of vector v, which are 3 and 4.
  • Step 3: Multiply the first component of u (1) by the first component of v (3). This gives you 1 * 3 = 3.
  • Step 4: Multiply the second component of u (2) by the second component of v (4). This gives you 2 * 4 = 8.
  • Step 5: Add the results from Step 3 and Step 4 together. This gives you 3 + 8 = 11.
  • Step 6: The final result, which is the dot product u · v, is 11.
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