What you need to know
Check yourself against these “I can” statements.
- I can write the equation of a 3D line in vector and Cartesian form
- I can write the equation of a plane in vector, Cartesian and scalar product form
- I can find the scalar product of two 3D vectors
- I can find the angle between lines, planes, or a line and a plane
- I can decide whether two lines meet and find where they intersect
- I can find the shortest distance between two lines, or from a point to a line or plane
Practise this topic
3 resourcesFormula Sheet
Make a printable formula sheet: tick the shapes you want (2D area, perimeter and arc length, volume, surface area, and sector, arc and segment in radians), the eight circle theorems with diagrams, the GCSE formulae sheet…
🧩 ConnectionsFurther Vectors
Cross products, linear combinations of the given a and b, displacement vectors, normals to planes and direction vectors of lines, grouped by the vector they equal.
🧮 ToolVectors in 3D Explorer
Lines, planes and points drawn in 3D (drag to turn the view) with the full worked method in exact form: intersections (line and line, line and point, line and plane, plane and point, plane and plane), angles (between lines, a…
These are the pages for Vectors in the A Level Further Maths scheme of work, following Pearson Edexcel A Level Further Mathematics (9FM0). Open this topic in Mr Wells Maths to see it alongside the rest of the course.