Cambridge AS & A Level Mathematics
3.7Vectors
Vectors in Cambridge AS & A Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Topic59 practice questions3 lessons
Learning objectives
What the syllabus expects you to be able to do.
- 3.7.1Paper 3: use standard vector notations in two and three dimensions.
- 3.7.2Paper 3: add and subtract vectors and multiply by scalars, interpreting the operations geometrically.
- 3.7.3Paper 3: calculate magnitudes and use unit, displacement and position vectors.
- 3.7.4Paper 3: understand and find the equation of a line r = a + tb.
- 3.7.5Paper 3: determine whether two lines are parallel, intersect or are skew, and find their point of intersection.
- 3.7.6Paper 3: calculate scalar products and use them in problems on lines and points.
Lessons
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The scalar product and angles between vectors
50 min
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Vector equations of lines in three dimensions
55 min
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Vectors in two and three dimensions
50 min
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Sample question
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