📌 A vector has a point of application only when it represents a force.
📌 Translating a vector anywhere in space without changing its orientation preserves its magnitude and direction, so the vector does not change.
Scalars carry magnitude alone; vectors carry magnitude and direction.
1. A measurement of a system's temperature is specified by one numerical value and has no direction. How is this quantity classified?
2. A model represents the acceleration of a vehicle with an arrow whose length shows its size and whose orientation shows where it is headed. Which type of quantity is being represented?
3. A two-dimensional vector has an x-coordinate of and a y-coordinate of . Which ordered pair gives its Cartesian coordinates?
What defines a scalar quantity?
A single value with magnitude but no direction.
What properties define a vector quantity?
It has magnitude, direction, and sense.
How are two-dimensional vectors represented using Cartesian coordinates?
As an ordered pair, .
What determines a vector’s quadrant in the Cartesian coordinate system?
The signs of its x- and y-coordinates.
What is the vector sum of the x- and y-components?
What are the component formulas for a vector at angle from the positive x-axis?
and .
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