PPT - Vectors - Further Pure 1

In this PowerPoint, we explore the topic of “Vectors”.
It consists of an initial section where we go over what was learned previously, during Pure Mathematics (A2 level). Afterwards, we explore additional features of the “Further Pure Mathematics course, such as the vector product between 2 vectors as well as the vector equation and the Cartesian equations of a plane. We also introduce extra formulas for the distance between a point and a line or a point and a plane or even between 2 skew lines, amongst other.
As in previous similar resources, we include, not one but 2 sections of examples of solved exam style questions. The intention is emphasizing the relation between the algebraic and geometric techniques used for A2 – Pure Mathematics and the new set of formulae available in the course of Further Pure Mathematics. As before, these examples will explore:
• Possible intersections between lines and planes
• Angles between lines and planes
• Distances between points, lines and planes
In each example, we can find detailed explanations complemented with key diagrams and tips for similar cases.
Hopefully, this resource can help students when revising for their examinations as well as teachers, who can use it a complement to their explanations in lessons.