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If the vector A = (2, 3) is scaled by a factor of 2, what is the resulting vecto

Practice Questions

Q1
If the vector A = (2, 3) is scaled by a factor of 2, what is the resulting vector?
  1. (4, 6)
  2. (2, 3)
  3. (1, 1.5)
  4. (0, 0)

Questions & Step-by-Step Solutions

If the vector A = (2, 3) is scaled by a factor of 2, what is the resulting vector?
  • Step 1: Identify the original vector A, which is (2, 3).
  • Step 2: Determine the scaling factor, which is 2.
  • Step 3: Multiply each component of the vector A by the scaling factor.
  • Step 4: Calculate the new x-component: 2 * 2 = 4.
  • Step 5: Calculate the new y-component: 2 * 3 = 6.
  • Step 6: Combine the new components to form the resulting vector: (4, 6).
  • Vector Scaling – Scaling a vector involves multiplying each component of the vector by a scalar factor.
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