Vectors
Kerala Board · Class 12 · Mathematics
Quick revision notes for Vectors — Kerala Board Class 12 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
Key Topics to Revise
1. Basic Concepts and Types of Vectors
- Vector: A quantity having both magnitude and direction, represented as →AB or →a
- Scalar: A quantity having only magnitude (mass, time, temperature)
- Vector representation: Directed line segment with initial and terminal points
2. Vector Addition and Subtraction
- Triangle Law: →a + →b = →c where vectors form a triangle
- Parallelogram Law: Diagonal represents sum of adjacent sides
- Vector addition is commutative: →a + →b = →b + →a
3. Scalar Multiplication and Linear Combinations
- Scalar multiplication: k→a changes magnitude by factor |k|
- If k > 0, direction remains same; if k < 0, direction reverses
- Distributive laws: k(→a + →b) = k→a + k→b and (k + m)→a = k→a + m→a
4. Section Formula and Position Vectors
- Section formula gives position vector of point dividing line segment
- Internal division: Point P divides AB in ratio m:n internally
- External division: Point P divides AB in ratio m:n externally
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Vectors covers several key topics that are frequently asked in Kerala Board Class 12 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
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Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.
Sources & Official References
- Kerala Board of Public Examinations — keralapareekshabhavan.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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