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 13.2 Worked Example 5

H2 Math Summary Notes Unit 13 Vectors Unit 13.2 Worked Example 5

The planes [latex]{{\text{p}}_{1}}[/latex] and [latex]{{\text{p}}_{2}}[/latex] have equations [latex]\mathbf{r}\cdot \left( \begin{matrix}1  \\ -3  \\  2  \\\end{matrix} \right)=-5[/latex] and [latex]\mathbf{r}\cdot \left( \begin{matrix}  2  \\-1  \\  3  \\\end{matrix} \right)=1[/latex] respectively, and meet in the line [latex]{{l}_{4}}[/latex]. Find

(i)

the vector equation for [latex]{{l}_{4}}[/latex],

(ii)

Find the acute angle between [latex]{{\text{p}}_{1}}[/latex] and [latex]{{\text{p}}_{2}}[/latex].

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