H2 Math Summary Notes

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Pure Mathematics
Unit 1 Inequalities
Basics of Test Point Method
Unit 2 Graphing Techniques
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Unit 3 Transformation of Graphs
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Unit 4 Functions
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How to Use GC to Plot an Inverse Graph
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Unit 5 APGP & Recurrence Relations
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Unit 6 Sigma Notation
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Unit 7 Techniques of Differentiation
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Unit 8 Applications of Differentiation
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Unit 9 Maclaurin Series
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Unit 10 Techniques of Integration
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Unit 11 Applications of Integration
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Unit 12 Differential Equations
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Unit 13 Vectors
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Unit 14 Complex Numbers
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Statistics
Unit 15 Permutation and Combinations
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Unit 16 Probability
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Unit 17 Discrete Random Variable
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Unit 18 Binomial Distribution
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Unit 19 Normal Distribution
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Unit 20 Sampling and Estimation
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Unit 21 Hypothesis Testing
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Unit 22 Correlation and Linear Regression
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Unit 13.1 Worked Example 2

H2 Math Summary Notes Unit 13 Vectors Unit 13.1 Worked Example 2

With respect to the origin [latex]O[/latex] , the position vectors of two points [latex]A[/latex] and [latex]B[/latex]  are [latex]\left( 6\mathbf{i}-2\mathbf{j}-\mathbf{k} \right)[/latex] and [latex]\left( -\mathbf{i}+5\mathbf{j}-3\mathbf{k} \right)[/latex] respectively. [latex]C[/latex] is on [latex]AB[/latex] produced such that [latex]2AC=3AB[/latex]. Find the position vector of [latex]C[/latex].

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