Shortest Distance Between a Point and a Line How do I find the shortest distance from a point to a line? The shortest distance from any point to a line will always be the perpendicular distance Not...
Equation of a Line in Vector Form How do I find the vector equation of a line? The formula for finding the vector equation of a line is This is given in the formula booklet This equation can be use...
Geometric 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 sca...
Components of Vectors Why do we write vectors in component form? When working with vectors in context it is often useful to break them down into components acting in a direction that is not one of ...
The scalar product is one method of multiplying vectors which results in a scalar and has uses when working with vectors and lines. The vector product is a different method, which results in a vect...
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...
