Find the length of a column vector
Find the length of a given column vector.
Unit: Higher Vectors 1
Lessons:
4 lessons
Simple vector diagrams
Work with simple vector diagrams.
Vector diagrams involving midpoints
Work with vector diagrams involving midpoints.
Vector diagrams involving ratios
Work with vector diagrams involving length ratios.
Units in Maths
Units in Shape and Space (S)
- Directed Numbers
- Rules of Indices (numbers)
- Standard Form (Writing and converting)
- Standard Form 4 Operations
- Collecting, Indices, Expand and Simplify, Solving Equations 1
- Solving equations 2 (Simple algebraic fractions)
- Adding and Subtracting Fractions
- Algebraic Fractions
- Factorise and solve a quadratic (a=1)
- Substitution and Rearranging formulae
- Rotation and Enlargement
- Similarity
- Pythagoras Theorem 1
- Pythagoras Theorem 2
- Factors Multiple and Primes
- Venn Diagrams
- HCF and LCM
- Rounding and Estimating
- Simple Graphs
- Straight Line Graphs (y=mx+C)
- Straight Line Graphs 2 (Parallel Lines)
- Simultaneous Equations (Linear)
- Scatter diagrams and Frequency trees
- Averages (From a list and tables, Stem and Leaf)
- Higher Data 1 (CF and Box Plots)
- Probability 2 (Sample space, Venn diagrams and experimental)
- Quadratic Graphs 1 (a=1)
- Quadratic Graphs 2 (a>1)
- Ratio 1 & 2
- Percentage increase and decrease
- Repeated Percentage Change
- Fractions 1, 2, and Fractional Change
- Parts of circles 1 (Semi and quarter circles)
- Parts of circles 2 (Arcs and Sectors)
- Cylinders
- Area and Perimeter
- Trigonometry 1
- Trigonometry 2
- Trigonometry 3
- 4 Rules of Number
- Types of numbers
- Collecting like terms, simplifying
- Expand and simplify brackets
- Rules of Indices
- Solving equations 1 (One step, Two Step and Brackets)
- Reflection
- Factorising (single bracket)
- Solve Inequalities and Represent on Number Line
- Linear Sequences
- Fraction equivalents
- Fractions 1 (adding and subtracting)
- Fractions 2 (multiplying and dividing)
- Fraction Change
- Percentages
- FDP Equivalents
- Decimals
- Ratio 1
- Circles
- Volume and Surface Area 1 (Prisms)
- Simplifying Surds
- Adding Surds
- Multiplying Surds
- Dividing and Rationalising surds
- Factorise and solve quadratics (a > 1)
- Further Algebra (Change the subject/Binomial expansion)
- Types of numbers and Rules of Indices
- Negative and Fractional Indices
- Recurring decimals
- Upper and Lower Bounds
- Higher Straight lines (Perpendicular Lines)
- Scatter Diagrams & Frequency Trees & Averages
- Higher Probability (Conditional and Further Set Notation)
- Further Quadratic equations
- Quadratic sequences
- One linear and one quadratic simultaneous equations
- Parts of a circle 1 & 2
- Volume 2
- Surface Area 2
- Volume and Surface Area 2
- Advanced Trigonometry 1
- Advanced Trigonometry 2
- Advanced Trigonometry 3
- Angle Facts
- Parallel Lines and Polygons 1
- Polygons 2 (Interior and Exterior)
- Ratio 2 (Ratio and Fractions/Direct Proportion/Best Buy)
- Revise - Solving equations
- Frequency charts (Data Collection, Bar and Pictograms)
- Charts and Tables (Pie Chart and Two way tables)
- Probability 1 (Scale and equally likely events)
- Probability 3 (Tree diagrams)
- Travel Graphs
- Compound measures
- Translate and Vectors 1
- Vectors 2
- Bearings
- Views and Maps
- Constructions
- Loci
- Revise - Angles, Polygons, Bearings
- Circle Theorems 1
- Circle Theorems 2
- Functions
- Revise - Simultaneous Equations
- Revise - Data (mean table, CF charts)
- Histograms
- Cubic and Reciprocal Graphs
- Graphs of Inequalities
- Volume and Surface Area 1 & 2
- Constructions & Loci
- Solve equations numerically (Iteration)
- Direct and Inverse Proportion
- Further Algebraic Fractions
- Algebraic Proof
- Circle Graphs
- Data Collection Higher
- Revise - Linear and Quadratic Graphs
- Other Graphs (Trig, Exponetial and Transformations)
- Further graphs (Gradients/Area of curves)
- Volume and Surface Area Higher 3
- Higher Vectors 1
- Higher Vectors 2 and Congruent Triangles
- Enlargement and Similarity
- Trigonometry 1 & 2
- Angle Facts & Parallel Lines
- Polygons 1 & 2
- Pythagoras 1 & 2
- Advanced Trigonometry 1, 2, and 3
- Volume and Surface Area 2 & Views and Maps
- Compound Measures & Direct and Inverse Proportion
- Area and Perimeter & Circles
- Volume and Surface Area 1 & 2
- Parts of a circle 1 & 2
- Trigonometry 2
- Advanced Trigonometry 1
- Similarity
- Higher Vectors 1
- Circle Theorems 1
- Parts of circles 2 (Arcs and Sectors)
- Pythagoras Theorem 2
- Parts of circles 1 (Semi and quarter circles)
- Volume and Surface Area 1 (Prisms)
- Advanced Trigonometry 3
- Cylinders
- Translate and Vectors 1
- Bearings
- Circles
- Advanced Trigonometry 2
- Circle Theorems 2
- Angle Facts
- Constructions
- Vectors 2
- Area and Perimeter
- Revise - Angles, Polygons, Bearings
- Trigonometry 3
- Rotation and Enlargement
- Constructions & Loci
- Reflection
- Views and Maps
- Loci
- Higher Vectors 2 and Congruent Triangles
- Volume and Surface Area Higher 3
- Pythagoras Theorem 1
- Enlargement and Similarity
- Volume and Surface Area 2
- Parallel Lines and Polygons 1
- Polygons 2 (Interior and Exterior)
- Trigonometry 1