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Representing and Measuring Data
This page deals with one-variable statistics. You need to know how to represent the data in tables and diagrams (histograms, cumulative frequency graphs and box-and-whisker diagrams), as well as measure...
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Vectors - Intersection of Line and Plane HL
For questions involving lines and planes, we are usually asked to find the point of intersection. However, when we consider a line and a plane, there are three possible situations. On this page, we will...
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Vectors - Intersection of Planes HL
This page is all about how planes meet (or not). Two distinct planes will either be parallel or meet in a line; coincident planes share the whole plane. Three planes will either 1) have no common point...
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Vectors - Equations of Planes HL
This is a hugely important topic in the HL course. We can describe planes in 3D in a number of different ways. It is not enough simply to learn the different equations; it is vital that you have a strong...
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Vector Product HL
The vector product is a way of combining two vectors to find a third vector that is perpendicular to the first two. The vector product is a vector! Don't mix it up with the scalar product, which is a...
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Vectors - Kinematics HL
This page is all about kinematics with vectors. You can describe the position of a moving object using vectors. This is very much like the equation of a straight line, except that the parameter is t for...
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Vectors - Intersection of Lines HL
This page looks at the intersections of lines in 2 and 3 dimensions. In 2D, lines intersect or are parallel. In 3D, it is slightly more complicated: lines can intersect, be parallel, be coincident, or...
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Vectors - Equation of a Line HL
You should already be familiar with the equation of a straight line in Cartesian form in 2 dimensions, y = ax + b. When we move into 3 dimensions, the Cartesian form becomes a little more awkward. Don't...
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Vectors - Scalar Product and Angles HL
In this topic, we will look at finding the angle between vectors in different circumstances. The whole topic revolves around the scalar (or dot) product. Often we are concerned with perpendicular vectors,...
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Radians, Arcs and Sectors
On this page, we will look at another measure of angles, that is, radians. This is a far more useful measure than degrees. Formulae for calculating arcs and sectors become simpler and most importantly,...