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    Vector Formulas with Solved Examples

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    Exploring Vector Formulas: A Comprehensive Guide

    Vectors are a fundamental concept in mathematics, providing a powerful tool to represent quantities with both magnitude and direction. In this comprehensive guide, we will delve into various vector formulas, explore their applications, and work through solved examples to deepen your understanding.

    Table of Contents

    • Vector Basics:
    • Solved Examples

    Vector Basics:

    Before diving into formulas, let’s review some vector basics.

    Vector Basics

    2. Vector Addition and Subtraction

    Addition: The sum of two vectors v and u is calculated by adding corresponding components:

    Vector Addition

    Subtraction

    3. Scalar Multiplication

    Multiplication by a Scalar: Scaling a vector v by a scalar c involves multiplying each component

    Scalar Multiplication

    4. Dot Product

    Dot Product

    5. Cross Product

     Cross Product

    Solved Examples

    Solved Examples

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