HSC Extension One Maths Vectors Exam
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Important: These tests take time to write, if you’re in a position consider buying me a coffee so I can keep doing this in the long term.
Below is a skills checklist I wrote based on the syllabus, if you can do everything listed below you should be in a good position for both your school’s vectors test and the vectors questions in the HSC.
Understand the concept of a vector
Understand the difference between a position vector and a displacement vector
Use vector notation
Perform basic vector operations such as addition, subtraction and multiplication by a scalar
Understand the parallelogram and triangle laws for vector addition and subtraction
Define and calculate the magnitude of a vector
Understand that the magnitude of the difference of two vectors is the distance between them
Convert a non-zero vector into a unit vector by dividing by its length
Define and use the dot product of two vectors
Use the dot product to solve problems
Determine of two vectors are parallel or perpendicular
Use vector projections
Use vectors to prove geometric results
Understand the assumptions made in projectile motion calculations
Use vectors to model the motion of a projectile
Derive the horizontal and vertical equations of motion for a given particle
Apply calculus to the equations of motion to solve projectile motion questions