Vector Addition and Subtraction

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Questions and Answers

Which of the following is true about vector addition?

  • Vectors cannot be added algebraically. (correct)
  • Vectors can be added algebraically.
  • Vectors have only direction.
  • Vectors have only magnitude.

What is the displacement of a car that travels 10 miles North and then 10 miles South?

  • 5 miles
  • 20 miles
  • 0 miles (correct)
  • 10 miles

Which law of vector addition involves forming a triangle?

  • Law of Vectors
  • Triangle Law (correct)
  • Parallelogram Law
  • Polygon Law

What is the total distance travelled by the car in the example?

<p>20 miles (A)</p> Signup and view all the answers

What quantities do vectors have?

<p>Magnitude and direction (D)</p> Signup and view all the answers

Which of the following best describes vector addition?

<p>Adding the magnitudes and directions of two vectors (A)</p> Signup and view all the answers

What is the displacement of the car that travels 10 miles North and then 10 miles South?

<p>0 miles (D)</p> Signup and view all the answers

Which law of vector addition involves forming a triangle?

<p>Triangle Law of Vector Addition (B)</p> Signup and view all the answers

How are vectors added algebraically?

<p>Vectors cannot be added algebraically (A)</p> Signup and view all the answers

What happens when two vectors have opposite directions?

<p>Their directions cancel each other out (B)</p> Signup and view all the answers

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Study Notes

Vector Addition

  • Vector addition involves adding two or more vectors together to find the resultant vector.

Displacement and Distance Travelled

  • The displacement of a car that travels 10 miles North and then 10 miles South is 0 miles, as it ends up back at the starting point.
  • The total distance travelled by the car in this example is 20 miles.

Characteristics of Vectors

  • Vectors have both magnitude (amount of movement) and direction.

Methods of Vector Addition

  • The triangle method of vector addition involves forming a triangle with the vectors to find the resultant vector.
  • Vectors can be added algebraically by adding corresponding components.

Properties of Vector Addition

  • When two vectors have opposite directions, they cancel each other out if they have the same magnitude.

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