Vector Algebra

Mathematics · Chapter 13 · Unit 4: Vector Algebra

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Your path through this chapter

1
Visual lesson Beta
1. Part 1: Vectors, components and the section formula19 slides
2. Part 2: Scalar and vector products18 slides
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Notes Beta
6 sections with key terms, formulas and exam tips.
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Flashcards Beta
30 cards for quick recall of key terms and facts.
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Practice
72 board-style questions with instant checks: Multiple choice 28, Short answer 19, Assertion and reason 6, Long answer 6.
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Chapter test Free
Short and long chapter tests in board pattern, with results and analysis.
- Chapter test (long) — Vector Algebra · 40 marks · 100 min
- Chapter test (short) — Vector Algebra · 20 marks · 50 min
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Vectors as directed line segments; magnitude and direction; direction cosines and ratios; types: equal, unit, zero, parallel, collinear, negative
Position vector; components along i, j, k in two and three dimensions; sum, difference and scalar multiple of vectors
Section formula for a point dividing a segment internally or externally
Scalar (dot) product: definition, geometrical meaning, properties; scalar and vector projections
Vector (cross) product: definition, geometrical meaning, properties; area of triangle and parallelogram; collinear vectors