What is the resultant of the vectors (2, 3) and (-1, 4)?

Practice Questions

Q1
What is the resultant of the vectors (2, 3) and (-1, 4)?
  1. (1, 7)
  2. (3, 1)
  3. (1, 1)
  4. (2, 4)

Questions & Step-by-Step Solutions

What is the resultant of the vectors (2, 3) and (-1, 4)?
  • Step 1: Identify the first vector, which is (2, 3). This means it has an x-component of 2 and a y-component of 3.
  • Step 2: Identify the second vector, which is (-1, 4). This means it has an x-component of -1 and a y-component of 4.
  • Step 3: To find the resultant vector, add the x-components of both vectors together: 2 + (-1).
  • Step 4: Calculate the x-component: 2 + (-1) = 1.
  • Step 5: Now, add the y-components of both vectors together: 3 + 4.
  • Step 6: Calculate the y-component: 3 + 4 = 7.
  • Step 7: Combine the results from Step 4 and Step 6 to form the resultant vector: (1, 7).
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