10 Questions
Which of the following is true about vector addition?
Vectors cannot be added algebraically.
What is the displacement of a car that travels 10 miles North and then 10 miles South?
0 miles
Which law of vector addition involves forming a triangle?
Triangle Law
What is the total distance travelled by the car in the example?
20 miles
What quantities do vectors have?
Magnitude and direction
Which of the following best describes vector addition?
Adding the magnitudes and directions of two vectors
What is the displacement of the car that travels 10 miles North and then 10 miles South?
0 miles
Which law of vector addition involves forming a triangle?
Triangle Law of Vector Addition
How are vectors added algebraically?
Vectors cannot be added algebraically
What happens when two vectors have opposite directions?
Their directions cancel each other out
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.
Test your knowledge of vector addition and subtraction with these solved examples. Learn how to add and subtract vectors, which are not as straightforward as adding scalars. Understand the importance of magnitude and direction in vector operations. Take the quiz now!
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