4 - Vectors
An introduction of the use of vectors in two and three dimensions. Learn about: magnitude of a vector, algebraic operations of vector addition and multiplication by scalars, and their geometrical interpretations, position vectors, the distance between two points, vector equations of lines, the scalar product and the vector product.
Types of vectors
Vector addition
Multiplication by a scalar
Magnitude
O-test 1
O-test 3
Randomised Exam Q 2008
O-test
Magnitude 4
2D add and subtract
Distance between two points
2D add and subtract 2
3D add and subtract
Multiplication by a scalar 2
Unit vectors
Unit vectors 2
Unit vectors 3
Equations of lines
Equations of lines 2
Equations of lines 3
Equations of lines 4
Equations of lines 5
Intersecting lines
Area of a triangle
Area of a triangle 2
Vector to cartesian form
Scalar product
Angle between vectors
Angle between vectors 2
Angle between 2D lines
Angle between 2D lines 2
Angle between 3D lines
Foot of perpendicular
Perpendicular vectors
Perpendicular vectors 2
Perpendicular vectors 3
Perpendicular vectors 4
Perpendicular lines
Perpendicular lines 2
Collinear points
Memorise the formulae
Diagonals of a parallelogram
Extended problem 1
Extended problem 2
Sequence O-test
O-test 1
O-test 2
O-test 3
O-test 4
O-test 5
O-test 6
O-test 7
O-test 8
Exam O-test 1
Exam O-test 2
Exam O-test 3
Exam O-test 4
Exam O-test 5
Exam timed O-test
Randomised Exam Q 2000
Randomised Exam Q 2000
Randomised Exam Q 2000
Randomised Exam Q 2002
Randomised Exam Q 2003
Randomised Exam Q 2003
Randomised Exam Q 2004
Randomised Exam Q 2005
Randomised Exam Q 2005
Randomised Exam Q 2006
Randomised Exam Q 2006
Randomised Exam Q 2006
Randomised Exam Q 2006
Randomised Exam Q 2007
Randomised Exam Q 2007
Randomised Exam Q 2007
Randomised Exam Q 2007
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2009
Randomised Exam Q 2009
Randomised Exam Q 2009
Randomised Exam Q 2009
Randomised Exam Q 2009
Randomised Exam Q 2009
Randomised Exam Q 2010
Randomised Exam Q 2011
Randomised Exam Q 2014
Planes 1
Planes 2
Planes 3
Coordinates 1
Coordinates 2
Coordinates 3
3D Vectors
Distance
Distance 2
Pyramid
Observation O-test
O-test 1
Definition
Perpendicular unit vectors
Properties
Properties 2
Properties 3
Angle between two vectors
Area of triangle
Area of parallelogram
O-test 1
O-test 2
O-test 3
Randomised Exam Q 2008
Visualizing
Visualizing 2
Equation of a plane
Equation of a plane 2
Vector equation of a plane
Equation of a plane 3
Vector equation of a plane 2
Perpendiculars to planes
Angle between planes
Perpendicular distance
Line of intersection
Point of intersection
Point of intersection 2
Line in plane
O-test 1
O-test 2
O-test 3
Exam O-test
Randomised Exam Q 2005
Randomised Exam Q 2007
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2009
Tractor
A pleasure boat
Two boats
Two people
Two submarines
O-test 1
O-test 9
Mindmap
Formulae