Further Vectors

This online course is developed to cover all the content required for HSC Mathematics Extension 2 students studying Further Vectors.

We will extend previous work on vectors to three dimensions, including further work with vector geometry, vector equation of a line, intersection of lines, perpendicular distance, circles, spheres and other parametric representations.

While this course is developed for NSW HSC Mathematics Extension 2, it may also suitable for students studying A-Level Further Mathematics, UK STEP Mathematics, IB Mathematics (AA HL), US Honors Precalculus / Early Linear Algebra and Maths Gymnasium.

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Meet Huan

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Meet Huan - -

Hello! I am Huan - founder of EIM Tuition.

Growing up in a first-generation immigrant family, I experienced first-hand the belief that education is the key to opportunity. Like many of the students I have helped, I went through the grind of preparing for the HSC, aiming for a top ATAR in a highly competitive selective high school environment.

That journey shaped how I teach (and EIM operates) today. Since 2010, I’ve helped 1,000+ students from 50+ schools across Sydney achieve outstanding results - including 99.95 ATARs, state ranks and countless Band 6’s.

Through these online courses, I hope to share the same clarity, structure and strategies that have helped so many students succeed - and help you achieve your own goals, wherever you’re studying from.

Course FAQ

Stay tuned!

1. 3D Coordinates

2. Example 1

3. Example 2

4. Example 3

1. Vectors in Three Dimensions

2. Example 4

3. Example 5

4. Example 6

5. Example 7

6. Example 8

1. Magnitude of Vector

2. Example 9

3. Example 10

4. Example 11

1. Ratio Division

2. Example 12

3. Example 13

1. Dot Product

2. Example 14

3. Example 15

4. Example 16

5. Example 17

6. Example 18

7. Example 19

8. Example 20

9. Example 21

1. Direction Cosines + Example 1

1. Projections

2. Example 2

3. Example 3

1. Perpendicular Distance

2. Example 4

3. Example 5

4. Example 6

1. Example 7

2. Example 8

3. Example 9

4. Example 10

5. Example 11

6. Example 12

1. Vector Equation of a Line

2. Example 1

3. Line Through a Given Point

4. Example 2

5. Example 3

6. Example 4

7. Example 5

8. Example 6

9. Example 7

1. Parallel and Perpendicular Lines

2. Example 8

1. Example 9

2. Example 10

3. Example 11

4. Example 12

5. Example 13

6. Example 14

7. Example 15

1. Example 16

2. Example 17

1. Circles

2. Example 18

3. Example 19

4. Spheres

5. Example 20

6. Example 21

7. Example 22

8. Other Representations of Circles

9. Example 23

10. Example 24

1. Example 25

2. Example 26

1. Equations of a Plane

2. Example 27

3. Example 28

4. Example 29

5. Example 30

6. Example 31

Meet Huan

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Meet Huan - -