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...
Numerical Methods in Context Numerical Methods Numerical methods?can be used to model a variety of situations, from the motion of planets across the solar system to the depreciation in a cars value...
Trapezium Rule (Numerical Integration) What is the trapezium rule? The?trapezium rule?is a numerical method of integration used to find the?approximate area?under a curve It can be used when?analyt...
Newton-Raphson The Newton-Raphson method The Newton-Raphson method finds?roots?of equations in the form?f(x)?=?0 It can be used to find?approximate solutions?when an equation cannot be solved using...
x = g(x) Iteration What does ?mean?? When an equation cannot be solved using the usual?analytical methods, we can still find?approximate solutions?to a certain degree of accuracy Iteration?is one w...
