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8183Vectors : Planes : Exam Question

8136Vectors : Applications : Exam Question

8112Vectors : Applications : Exam Question

8105Vectors : 3D Vector geometry : Exam Question

7949Vectors : Scalar (dot) product, definition, geometrical interpretation, properties and application : Exam Question

7948Vectors : Addition and multiplication by a scalar : Exam Question

13959Vectors : Geometric problems : Example 5

7997Vectors : Vector algebra : Exam Question

13903Vectors : Geometric problems : O-test 2

7910Vectors : Vector algebra : Exam Question

13562Vectors : Magnitude : Example 3

13476Vectors : Magnitude : O-test 1

13456Vectors : Magnitude : Example 2

13455Vectors : Magnitude : Example 1

13454Vectors : Magnitude : Definition

Mindmap

Unit vectors

Types of vectors

Vector addition

Vector subtraction

a-b and b-a

Multiplication by a scalar

Magnitude

Equations of lines

O-test 1

O-test 3

Randomised Exam Q 2008

Visualising 3D vectors

Planes 1

Planes 2

Planes 3

Coordinates 1

Coordinates 2

Coordinates 3

3D Vectors

Distance

Distance 2

Pyramid

Prism

Observation O-test

O-test 1

Randomised Exam Q 2014

Randomised Exam Question

Vectors and speed

Resultants

Tractor

A pleasure boat

Resultants 2

Two boats

Vectors and speed 2

Two submarines

Two people

Boat's journey

Two boats

O-test 1

O-test 1

O-test 9

Exam O-test 2

Exam O-test 3

Exam O-test 4

Exam O-test 5

Randomised Exam Q 2000

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Adding 1

Adding 2

Adding 3

Subtracting 1

Subtracting 2

Magnitude

Multiplying by a scalar

Example 1

O-test 1

O-test 2

O-test 3

Exam O-test

Definition

Illustration

Perpendicular unit vectors

Properties

O-test 1

Properties 2

Angle between two vectors

Properties 3

Area of triangle

Area of parallelogram

Equations of lines

Direction ratio form

Direction ratio form 2

O-test 2

O-test 3

Randomised Exam Q 2008

Randomised Exam Q 2008

Definitions

Definitions 2

Perpendicular vectors

O-test 2

O-test 1

Regular hexagon

Midpoints

Quadrilaterals

Example 1

Example 2

Example 3

Example 4

Example 5

Magnitude

Vector notation

Equal vectors

Parallel vectors

Adding vectors

Subtracting vectors

Find the vector 1

Find the vector 2

Draw the vector 1

Draw the vector 2

Draw the vector 3

O-test 1

O-test 2

Definition

Definition

Definition

Example 1

Example 2

Example 3

O-test 1

Visualizing

Visualizing 2

Visualizing 3

Equation of a plane

Equation of a plane 2

Equation of a plane 3

Vector equation of a plane

Vector equation of a plane 2

O-test 1

O-test 2

Perpendiculars to planes

Angle between planes

Perpendicular distance

Line of intersection

Point of intersection

Point of intersection 2

Line in plane

O-test 3

Exam O-test

Randomised Exam Q 2005

Randomised Exam Q 2007

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Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

O-test

Randomised Exam Question

Definition

Definition 2

Volume 2

Volumes

O-test 1

Volume of tetrahedra

Volume of pyramids

Volume of triangular prisms

Intersecting lines

Intersecting lines 2

Shortest distance between lines

Coplanar points

O-test 2

Coplanar vectors

Triple vector product

Triple vector product 2

Exam O-test

Randomised Exam Q 2000

Randomised Exam Q 2002

Distance between two points

Intersection with a circle

Magnitude 4

2D add and subtract

2D add and subtract 2

3D add and subtract

Multiplication by a scalar 2

Sequence O-test

Unit vectors 2

Unit vectors

The section formula

Unit vectors 3

Equations of lines 2

Equations of lines

Equations of lines 3

Equations of lines 4

Equations of lines 5

Area of a triangle

Intersecting lines

Area of a triangle 2

Vector to cartesian form

Scalar product

Angle between vectors

Angle between vectors 2

O-test 1

O-test 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

O-test 3

O-test 4

Collinear points

O-test 5

Memorise the formulae

Diagonals of a parallelogram

Extended problem 1

Extended problem 2

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

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Randomised Exam Q 2002

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The orthocentre

Parallelogram

Pythagoras

The cosine rule

Tetrahedron

Rhombus

Circle theorem

O-test 4

Adding and subtracting

Types of vectors

Multiplication by a scalar

O-test 2

Resultant of two vectors

Resolving into components

a-b and b-a

Resolving 2

Resolving 3

Unit vectors

Adding and subtracting 2

Displacements

Displacements 2

Displacements 3

O-test 5

Magnitude 2

Magnitude 3

Direction

Calculating unit vectors

O-test 6

Exam O-test 1

Exam O-test 1

Randomised Exam Q 2000

Randomised Exam Q 2003

Randomised Exam Q 2006

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Randomised Exam Q 2014