Embedded Files
Success Criteria:
I am able to accurately resolve a vector into its horizontal (x) and vertical (y) components using trigonometric functions (sine and cosine).
I am able to solve problems involving vector addition and subtraction by using the component method to simplify calculations.
I am able to draw vectors and their components accurately on a coordinate grid, showing the resultant vector and its components.
Fun Fact
Navigating with Vector Components is Key to GPS Technology! When GPS devices or apps calculate your location, they use vector components to determine your movement and direction. By breaking down your position and movement into x and y components, the system can accurately track and update your location on a map, ensuring you get the right directions and navigate effectively!
Key terms
Vector is a quantity with both magnitude and direction, represented graphically by an arrow and algebraically by coordinates or components.
Vector Component is the projection of a vector along the axes of a coordinate system, typically broken down into horizontal (x) and vertical (y) components.
Magnitude is the length or size of a vector, which can be calculated from its components using the Pythagorean theorem.
Resultant Vector is the vector obtained by adding or subtracting other vectors, representing the combined effect of the individual vectors.
Vector Decomposition is the method of breaking down a vector into its individual components along specified axes for easier analysis and calculations.
Learning Tasks
Chapter 10.3 questions p.305
Page updated
Report abuse