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...
Determinant of a Transformation Matrix What is a determinant? the determinant is det?A?=?ad?-?bc What does the determinant of a transformation matrix (A) represent? The?absolute value?of the?determ...
