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The Straight Line
Gradient Formula
Distance Formula (lines)
Collinearity
Perpendicular Lines
Equation of a Line
Perpendicular Bisectors
Medians of a Triangle
Altitudes of a Triangle
Mixed Questions
Past Paper Worked Examples
Circle
Distance Formula
Circle Centre Origin
Circle Centre (a, b)
Another Circle Equation
Intersection of Line and Circle
Tangents to a Circle
Equation of Tangent to Circle
Past Paper Worked Examples
Functions
Sets and Functions
Domain and Range
Composite Functions
Inverse Functions
Graphs of Functions
Vectors
Vectors and Scalars
Components of a Vector
Magnitude of a Vector
Addition of Vectors
Subtraction of Vectors
Multiplying a Vector by a Scalar
Unit Vectors
3D Coordinates
More Unit Vectors
Position Vectors
Collinearity
Section Formula
Scalar Product
Angle Between Vectors
Properties of the Scalar Product
Exponentials and Logs
Exponential Functions
Linking Exponentials and Logs
Rules of Logs
Solving Log Equations
Real Life Problems
Exponential Inequations
Power Graphs
Exponential Graphs
Related Graphs
Quadratic Theory
Sketching a Parabola
Completing the Square
Quadratic Inequations
Discriminant
Polynomials
Value of a Polynomial
Division of Polynomials
Factorising
Finding Missing Values
Solving Equations
Equation from Graphs
Calculus (Differentiation)
Rule for Differentiation
More difficult Derivatives
Tangents to Curves
Increasing and Decreasing Functions
Stationary Points
Curve Sketching
Closed Intervals
Sketching the Derivative
Optimisation
Calculus (Integration)
Anti-Differentiation
More Difficult Integration
Area Under a Curve
Definite Integrals
Areas Above and Below x-axis
Area Between Curves
Solving Differential Equations
Trig Graphs and Equations
Trig Graphs Revision
Radian Measure
Solving Trig Equations
Solving More Trig Equations
Addition Formulae
sin(A + B)
sin(A - B)
cos(A + B) and cos(A - B)
Trig Identities
sin2A and cos2A
Trig Equations
Wave Function
Rcos(x - a)
Other Forms of Wave Equation
Max and Min Values
Solving Equations
Recurrence Relations
Introducing Recurrence Relations
Other Recurrence Relation Questions
Limit of a Recurrence Relation
Algebraic Examples
Finding the Sum of n terms
Real Life Problems
Further Calculus
Differentiating sin and cos
Chain Rule
Special Rule for Integration
Integrating sin and cos
Cults Academy
Home
The Straight Line
Gradient Formula
Distance Formula (lines)
Collinearity
Perpendicular Lines
Equation of a Line
Perpendicular Bisectors
Medians of a Triangle
Altitudes of a Triangle
Mixed Questions
Past Paper Worked Examples
Circle
Distance Formula
Circle Centre Origin
Circle Centre (a, b)
Another Circle Equation
Intersection of Line and Circle
Tangents to a Circle
Equation of Tangent to Circle
Past Paper Worked Examples
Functions
Sets and Functions
Domain and Range
Composite Functions
Inverse Functions
Graphs of Functions
Vectors
Vectors and Scalars
Components of a Vector
Magnitude of a Vector
Addition of Vectors
Subtraction of Vectors
Multiplying a Vector by a Scalar
Unit Vectors
3D Coordinates
More Unit Vectors
Position Vectors
Collinearity
Section Formula
Scalar Product
Angle Between Vectors
Properties of the Scalar Product
Exponentials and Logs
Exponential Functions
Linking Exponentials and Logs
Rules of Logs
Solving Log Equations
Real Life Problems
Exponential Inequations
Power Graphs
Exponential Graphs
Related Graphs
Quadratic Theory
Sketching a Parabola
Completing the Square
Quadratic Inequations
Discriminant
Polynomials
Value of a Polynomial
Division of Polynomials
Factorising
Finding Missing Values
Solving Equations
Equation from Graphs
Calculus (Differentiation)
Rule for Differentiation
More difficult Derivatives
Tangents to Curves
Increasing and Decreasing Functions
Stationary Points
Curve Sketching
Closed Intervals
Sketching the Derivative
Optimisation
Calculus (Integration)
Anti-Differentiation
More Difficult Integration
Area Under a Curve
Definite Integrals
Areas Above and Below x-axis
Area Between Curves
Solving Differential Equations
Trig Graphs and Equations
Trig Graphs Revision
Radian Measure
Solving Trig Equations
Solving More Trig Equations
Addition Formulae
sin(A + B)
sin(A - B)
cos(A + B) and cos(A - B)
Trig Identities
sin2A and cos2A
Trig Equations
Wave Function
Rcos(x - a)
Other Forms of Wave Equation
Max and Min Values
Solving Equations
Recurrence Relations
Introducing Recurrence Relations
Other Recurrence Relation Questions
Limit of a Recurrence Relation
Algebraic Examples
Finding the Sum of n terms
Real Life Problems
Further Calculus
Differentiating sin and cos
Chain Rule
Special Rule for Integration
Integrating sin and cos
More
Home
The Straight Line
Gradient Formula
Distance Formula (lines)
Collinearity
Perpendicular Lines
Equation of a Line
Perpendicular Bisectors
Medians of a Triangle
Altitudes of a Triangle
Mixed Questions
Past Paper Worked Examples
Circle
Distance Formula
Circle Centre Origin
Circle Centre (a, b)
Another Circle Equation
Intersection of Line and Circle
Tangents to a Circle
Equation of Tangent to Circle
Past Paper Worked Examples
Functions
Sets and Functions
Domain and Range
Composite Functions
Inverse Functions
Graphs of Functions
Vectors
Vectors and Scalars
Components of a Vector
Magnitude of a Vector
Addition of Vectors
Subtraction of Vectors
Multiplying a Vector by a Scalar
Unit Vectors
3D Coordinates
More Unit Vectors
Position Vectors
Collinearity
Section Formula
Scalar Product
Angle Between Vectors
Properties of the Scalar Product
Exponentials and Logs
Exponential Functions
Linking Exponentials and Logs
Rules of Logs
Solving Log Equations
Real Life Problems
Exponential Inequations
Power Graphs
Exponential Graphs
Related Graphs
Quadratic Theory
Sketching a Parabola
Completing the Square
Quadratic Inequations
Discriminant
Polynomials
Value of a Polynomial
Division of Polynomials
Factorising
Finding Missing Values
Solving Equations
Equation from Graphs
Calculus (Differentiation)
Rule for Differentiation
More difficult Derivatives
Tangents to Curves
Increasing and Decreasing Functions
Stationary Points
Curve Sketching
Closed Intervals
Sketching the Derivative
Optimisation
Calculus (Integration)
Anti-Differentiation
More Difficult Integration
Area Under a Curve
Definite Integrals
Areas Above and Below x-axis
Area Between Curves
Solving Differential Equations
Trig Graphs and Equations
Trig Graphs Revision
Radian Measure
Solving Trig Equations
Solving More Trig Equations
Addition Formulae
sin(A + B)
sin(A - B)
cos(A + B) and cos(A - B)
Trig Identities
sin2A and cos2A
Trig Equations
Wave Function
Rcos(x - a)
Other Forms of Wave Equation
Max and Min Values
Solving Equations
Recurrence Relations
Introducing Recurrence Relations
Other Recurrence Relation Questions
Limit of a Recurrence Relation
Algebraic Examples
Finding the Sum of n terms
Real Life Problems
Further Calculus
Differentiating sin and cos
Chain Rule
Special Rule for Integration
Integrating sin and cos
Properties of the Scalar Product
15. Properties of Scalar Product
Properties of the Scalar Product
Ex13U Q1a, 2 - 9
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15. Properties of Scalar Product15. Properties of Scalar Product