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Vectors - Notes and Question Bank
Basic Stuff
INDEX
Some general rules
Adding vectors and what this can mean physically
Using components to describe vectors
Basic trig for working out components
Trying to pull a boulder up a hill
Finding the magnitude or length of a vector
Multiplying vectors
The scalar or dot product and work done by a force
Finding the direction cosines of a vector
The vector or cross product and the moment of a force
Can we multiply 3 vectors together? The vector triple product
The scalar triple product and what it means geometrically
Lines and planes
Finding the vector equation of a line
Finding vector equations of planes
Finding equations of planes using normal vectors
Finding a normal vector
Angles between lines and planes
Equations of planes in the form Ax + By + Cz = D
What does the equation 3x + 4y = 12 give us?
Writing the equation of a line in 3 dimensions
Examples of problems involving lines and planes
Extra bits
Finding the shortest distance from a point to a line
Finding the shortest distance between 2 skew lines
Finding where the medians of a triangle intersect
changing x,y,z coordinates into spherical polar coordinates
Where next? (includes external links)
Copyright © Jenny Olive 1999 - 2003 (Last altered September 2003)
JEE Zone
(2007)