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Contents

Whole Topic Notes

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Dr Frost
Acute Learning Whole Chapter Problem Pairs

9A Part 1 3D Lines Introduction

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9A Part 1 Slides (Courtesy of Owen134866)

Textbook Exercise

All Questions except 4b, 6 & 15

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Extra Questions
Key Skills

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  • 983 Find a vector equation of a straight line given two points.
  • 985 Determine whether a point lies on a line given its vector equation.
  • Combination of All

Matrices Key Skills Section (for selecting more than one)

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9A Part 2 Cartesian 3D Lines

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Textbook Exercise

Questions 4b, 6 & 15

Dr Frost resources

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Extra Questions
Key Skills

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  • 984 Find a Cartesian Equation of a Line Given its Vector Equation.

Matrices Key Skills Section (for selecting more than one)

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Exam solutions second example shows what happens when a direction vector contains a ‘0’ term

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9B Part 1 3D Planes Introduction

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9B Part 1 Slides (Courtesy of Owen134866)

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Extra Questions
Key Skills

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  • 986 Find an equation of a plane passing through 3 points.

Matrices Key Skills Section (for selecting more than one)

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9B Part 2 Cartesian 3D Planes

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9B Part 2 Slides (Courtesy of Owen134866)

Dr Frost resources

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Extra Questions
Key Skills

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  • 987 Find a Cartesian equation of a plane given a point and the normal vector.

Matrices Key Skills Section (for selecting more than one)

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9C Scalar Products & Angles Between Lines

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9C Slides (Courtesy of Owen134866)

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Extra Questions
Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

  • 988 Find the scalar product of two vectors.
  • 989 Find the angle between two vectors.
  • 990 Find a constant given that two vectors are perpendicular.
  • 992 Find the angle between two lines in vector form.
  • Combination of All

Matrices Key Skills Section (for selecting more than one)

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Better explained (Full link to web page here)

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9D Acute Angles Between Lines & Planes

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9D Slides (Courtesy of Owen134866)

Textbook References
  • Acute angles between lines: Q1, 9, 10, 11
  • r.n=k form of a plane: Q2, 3, 4
  • Angle between the plane and a line: Q5, 6, 12
  • Angle between two planes: Q7, 8, 13
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9E Points of Intersection

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9E Slides (Courtesy of Owen134866)

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Activities
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9F Part 1 Perpendicular Distances with Lines

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9F Part 1 Slides (Courtesy of Owen134866)

Ex 9F Q 1-4, 7, 9, 11

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9F Part 2 Perpendicular Distances with Lines & Planes

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9F Part 2 Slides (Courtesy of Owen134866)

Ex 9F Q5, 6, 8, 10, 12

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Whole Topic Summary Resources (Including Past Paper Questions)

Download PPQs as WW Powerpoint for Core Pure Vectors

External whole topic past paper style questions