Geometrical Proof with Vectors How can vectors be used to prove geometrical properties? If two vectors can be shown to be parallel then this can be used to prove parallel lines If two vectors are s...
The Scalar ('Dot') Product What is the scalar product? The scalar product (also known as the dot product) is one form in which two vectors can be combined together The result of taking the scalar p...
Magnitude of a Vector How do you find the magnitude of a vector? The magnitude of a vector tells us its size or length For a displacement vector it tells us the distance between the two points For ...
Adding & Subtracting Vectors How are vectors added and subtracted numerically? To add or subtract vectors numerically simply add or subtract each of the corresponding components In column vecto...
Scalars & Vectors What are scalars? Scalars are quantities without direction They have only a size (magnitude) For example: speed, distance, time, mass Most scalar quantities can never be negat...
Strategy for Trigonometric Equations How do I approach solving trig equations? You can solve trig equations in a variety of different ways Sketching a graph If you have your GDC it is always worth...
Trigonometric Proof How do I prove new trigonometric identities? You can use trigonometric identities you already know to prove new identities Make sure you know how to find all of the trig identit...
Inverse Trig Functions What are the inverse trig functions? The functions arcsin, arccos and arctan are the inverse functions of sin, cos and tan respectively when their domains are restricted sin ...
Reciprocal Trig Functions What are the reciprocal trig functions? What do the graphs of the reciprocal trig functions look like? The graph of y = secx has the following properties: The y-axis is a ...
