Vector Addition and Subtraction
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Questions and Answers

What is the result of adding two vectors of equal magnitude but opposite directions?

  • A zero vector (correct)
  • A vector of half the magnitude
  • A vector of double the magnitude
  • A vector of the same magnitude
  • Which of the following is a correct property of vector addition?

  • Vector addition is associative but not commutative
  • Vector addition is commutative but not associative
  • Vector addition is neither commutative nor associative
  • Vector addition is both commutative and associative (correct)
  • What is the result of subtracting a vector from itself?

  • A vector of half the magnitude
  • A vector of double the magnitude
  • A zero vector (correct)
  • A vector of the same magnitude
  • When adding two vectors, what happens to their magnitudes?

    <p>The magnitudes add if the vectors are in the same direction, but subtract if they are in opposite directions</p> Signup and view all the answers

    What is the difference between vector addition and scalar addition?

    <p>Vector addition involves adding vectors, while scalar addition involves adding numbers</p> Signup and view all the answers

    Study Notes

    Vector Addition Properties

    • When adding two vectors of equal magnitude but opposite directions, the result is zero.
    • A correct property of vector addition is that the order of the vectors being added does not change the result.
    • Subtracting a vector from itself results in a zero vector.
    • When adding two vectors, their magnitudes do not necessarily add; instead, the resultant vector's magnitude is generally smaller than the sum of the individual magnitudes.
    • The key difference between vector addition and scalar addition is that vector addition takes into account both magnitude and direction, whereas scalar addition only involves the addition of magnitudes.

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    Description

    Test your understanding of vector addition and subtraction, including the properties of vector addition, the result of adding and subtracting vectors, and the differences between vector and scalar addition.

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