ICSE 12 Mathematics | 5. Vectors by Abraham | Learn Smarter with Allrounder.ai
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5. Vectors

5. Vectors

26 sections

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Sections

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  1. 5

    Vectors are quantities defined by both magnitude and direction, critical in...

  2. 5.1
    Introduction To Vectors

    Vectors are quantities defined by both magnitude and direction, fundamental...

  3. 5.2
    Definition Of A Vector

    A vector is a quantity characterized by both magnitude and direction, which...

  4. 5.3
    Types Of Vectors

    This section covers the various types of vectors, each defined by their...

  5. 5.3.1

    The zero vector is a fundamental concept in vector mathematics, defined as a...

  6. 5.3.2

    Unit vectors are vectors with a magnitude of one, used to represent...

  7. 5.3.3
    Equal Vectors

    Equal vectors are defined as vectors that have the same magnitude and direction.

  8. 5.3.4
    Negative Vector

    A negative vector has the same magnitude as a given vector but points in the...

  9. 5.3.5
    Co-Initial Vectors

    Co-initial vectors are vectors that share the same starting point but may...

  10. 5.3.6
    Collinear Vectors

    Collinear vectors are vectors that lie along the same straight line,...

  11. 5.3.7
    Coplanar Vectors

    Coplanar vectors are those that lie within the same geometric plane, playing...

  12. 5.4
    Representation Of Vectors

    This section explores how vectors are represented geometrically and...

  13. 5.4.1
    Geometric Representation

    Geometric representation of vectors involves illustrating vectors as arrows...

  14. 5.4.2
    Algebraic Representation

    This section introduces algebraic representation of vectors, explaining how...

  15. 5.4.2.1

    This section introduces the representation and operations of vectors in a 2D...

  16. 5.4.2.2

    This section focuses on the representation and operations of vectors in...

  17. 5.5
    Operations On Vectors

    This section discusses various operations on vectors, including addition,...

  18. 5.5.1
    Addition Of Vectors

    This section explores the fundamental concepts of vector addition, both...

  19. 5.5.1.1
    Graphical Method

    The graphical method of vectors involves adding vectors using a geometric...

  20. 5.5.1.2
    Algebraic Method

    The Algebraic Method section explains how to perform operations on vectors...

  21. 5.5.2
    Subtraction Of Vectors

    This section explains the concept of vector subtraction, illustrating how to...

  22. 5.5.3
    Scalar Multiplication

    Scalar multiplication involves multiplying a vector by a scalar, affecting...

  23. 5.5.4
    Dot Product (Scalar Product)

    The dot product, also known as the scalar product, is a mathematical...

  24. 5.5.5
    Cross Product (Vector Product)

    The cross product of two vectors results in a vector that is perpendicular...

  25. 5.6
    Applications Of Vectors

    This section discusses the various real-world applications of vectors across...

  26. 5.7
    Summary Of Chapter 5: Vectors

    This section summarizes the fundamental concepts and operations of vectors,...

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