Podcast
Questions and Answers
Which is true about vector quantities?
Which is true about vector quantities?
- They can be added without concerning their directions.
- They have both magnitude and direction. (correct)
- They are always measured in kilometers.
- They are represented only by numbers.
What does displacement differ from distance in terms of?
What does displacement differ from distance in terms of?
- Displacement is always greater than distance.
- Displacement considers the path taken.
- Displacement measures only how far.
- Displacement involves direction. (correct)
When adding two vectors, what must be considered?
When adding two vectors, what must be considered?
- Only their magnitudes.
- Their magnitudes and directions. (correct)
- Their speed and rate of change.
- Only the largest magnitude.
Which of the following is a scalar quantity?
Which of the following is a scalar quantity?
What is the result of combining a vector of 30m East and a vector of 20m West?
What is the result of combining a vector of 30m East and a vector of 20m West?
Which statement about vector notation is correct?
Which statement about vector notation is correct?
What is required for scalar addition?
What is required for scalar addition?
If an object moves 50m North and then 50m South, what is its displacement?
If an object moves 50m North and then 50m South, what is its displacement?
What defines two vector quantities as equal?
What defines two vector quantities as equal?
Which statement accurately describes antiparallel vectors?
Which statement accurately describes antiparallel vectors?
What is the resultant vector?
What is the resultant vector?
If a vector is defined as having a magnitude of 87 m to the north, what would its negative representation indicate?
If a vector is defined as having a magnitude of 87 m to the north, what would its negative representation indicate?
What is the primary difference between displacement and distance?
What is the primary difference between displacement and distance?
Which of the following is true about scalar quantities?
Which of the following is true about scalar quantities?
When adding two vectors, what does it mean if one vector has the same magnitude but opposite direction to another?
When adding two vectors, what does it mean if one vector has the same magnitude but opposite direction to another?
If vector A is 50 m east and vector B is 50 m west, what is the resultant vector?
If vector A is 50 m east and vector B is 50 m west, what is the resultant vector?
What is the resultant vector when two component vectors are added together in a Cartesian coordinate system?
What is the resultant vector when two component vectors are added together in a Cartesian coordinate system?
Which of the following statements about vector components is true?
Which of the following statements about vector components is true?
In vector addition, what does the magnitude of the resultant vector represent?
In vector addition, what does the magnitude of the resultant vector represent?
Which of the following is a major difference between displacement and distance?
Which of the following is a major difference between displacement and distance?
What is an example of a scalar quantity?
What is an example of a scalar quantity?
If a vector has a negative component along the x-axis, what does that indicate?
If a vector has a negative component along the x-axis, what does that indicate?
How is the direction of a resultant vector usually expressed in a two-dimensional coordinate system?
How is the direction of a resultant vector usually expressed in a two-dimensional coordinate system?
What happens to the resultant vector when two vectors of equal magnitude but opposite direction are added?
What happens to the resultant vector when two vectors of equal magnitude but opposite direction are added?
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Study Notes
Vector and Scalar Quantities
- Vector quantities have both magnitude and direction.
- Examples of vector quantities:
- Displacement of 20m (North)
- Velocity of 60 km/h (East)
- Force of 40 Newton (West)
- Scalar quantities have only magnitude.
- Examples of scalar quantities:
- Speed of 60km/h
- Time of 3 hours
- Temperature of 28ËšC
Scalar Addition and Subtraction
- Scalar addition is similar to ordinary addition.
- Scalar quantities are added together when they are expressed in the same units.
- Example: Mass (m1)=25g and another mass (m2)=50g, their sum is msum = m1 + m2.
Vector Addition and Subtraction
- Vectors are represented as lines with arrowheads at their tips.
- The length of the line shows the vector’s magnitude and the direction of the line shows the vector’s direction.
- Displacement is a change in position of an object. It includes both the distance and direction.
- Displacement is represented as a straight line segment directed from the starting point to the ending point.
- Equal vectors have the same magnitude and direction, regardless of their location.
- Negative vectors have the same magnitude as the original vector but opposite direction.
- Antiparallel vectors have opposite directions, regardless of their magnitudes.
Component of Vectors
- Component vectors are used to represent a vector in terms of its x and y components.
- The x-component is the projection of the vector onto the x-axis.
- The y-component is the projection of the vector onto the y-axis.
- The components of a vector are two numbers that represent the magnitude and direction of the vector.
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