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What is the effect of adding vectors without considering direction?
Incorrect results in physics calculations, especially when analyzing motion or forces.
What is the effect of using unit vectors in vector algebra?
Simplifies calculations and allows for easy conversion between different notations.
What is the effect of applying a force at an angle?
The force must be resolved into components to analyze its effect on motion in different directions.
What is the effect of a changing velocity vector?
It results in acceleration, which can change the object's speed, direction, or both.
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., $\hat{i}$, $\hat{j}$, $\hat{k}$).