Equation of a Line in Vector Form How do I find the vector equation of a line? You need to know: The?position vector?of one point on the line A?direction vector?of the line (or the position vector ...
Problem Solving using 3D Vectors Problem-solving with 3-D vectors 3-D vector problems can be solved using the same principles as?2-D vector problems?(see Problem Solving using Vectors) Vectors can ...
Vectors in 3 Dimensions What is a 3-D vector? Vectors represent a movement of a certain?magnitude?(size) in a given?directionYou should have already come across (2D)?vectors?at AS (see Basic Vector...
Problem Solving using Vectors Problem-solving with vectors Vectors can be used to prove two lines are?parallel?(see Vector Addition) They can also be used to show points are?collinear?(lie on the s...
Position Vectors What is a position vector? Position vectors describe the?position of a point?in relation to the?origin They are different to?direction vectors?which describe the?direction and dist...
Vector Addition Vector addition Adding?vectors together lets us describes the?movement between two points The?single?vector this creates is called the?resultant?vector Subtracting?a vector is the s...
Magnitude & Direction What is the magnitude of a vector? The magnitude of a vector is simply its size It also tells us the distance between two points You can find the magnitude of a vector usi...
Basic Vectors What is a vector? Vectors represent a movement of a certain?magnitude?(size) in a given?direction You should have already come across?vectors?when translating functions of graphs They...
x = g(x) Iteration What does xn + 1?= f(xn) mean?? When an equation cannot be solved using the usual?analytical methods, we can still find?approximate solutions?to a certain degree of accuracy Iter...
Change of Sign Failure When can the sign change method fail? There are certain circumstances where a?change of sign?fails to appropriately reflect the number or existence of roots If the interval i...
Change of Sign What does a change of sign mean? A?sign change?between f(a) to f(b) means there must be a?root?between a and b When an equation cannot be solved using the usual?analytical methods, w...
Solving & Interpreting Differential Equations How do I solve a differential equation? Solving differential equations uses integration! The precise integration method will depend on the type of ...
