All Flashcards
What is the effect of adding vectors without considering their direction?
Incorrect results when analyzing motion and forces.
What is the effect of using incorrect units in vector calculations?
Incorrect final answer and loss of points.
What happens if you ignore the direction of a force vector?
The calculated acceleration and resulting motion will be incorrect.
What is the result of correctly resolving a force vector into components?
Easier analysis of motion in multiple dimensions.
What is the effect of using the incorrect angle when resolving a vector?
The components will be calculated incorrectly, leading to an incorrect final answer.
Define a scalar quantity.
A scalar quantity has only magnitude (size). It is a number with a unit.
Define a vector quantity.
A vector quantity has both magnitude and direction.
What is 'distance'?
Distance is a scalar quantity representing how far something has traveled in total.
What is 'displacement'?
Displacement is a vector quantity representing how far something is from its starting point, with a direction.
Define 'speed'.
Speed is a scalar quantity that measures how fast something is moving.
Define 'velocity'.
Velocity is a vector quantity that measures how fast something is moving in a specific direction.
What is a unit vector?
A unit vector is a vector with a magnitude of 1, used to represent direction (e.g., , , ).
What is a scalar quantity?
A quantity with only magnitude (size).
What is a vector quantity?
A quantity with both magnitude and direction.
Define displacement.
The distance an object is from its starting point, with a direction.
Define velocity.
How fast something is moving in a specific direction.
What is a unit vector?
A vector with a magnitude of 1, used to represent direction (e.g., , , ).
What is speed?
How fast something is moving, irrespective of direction.