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Vectors in physics, it will be useful fore everyone)

What you will learn

Basic ideas about vectors and scalars

Introduction to vector algebra used in physics

Multiplacation, adding, projection of vectors

Application of vectors in Mechanics, Electricity and Magnetism, Fields

Basic concepts for further study of vectors in the course of mathematics

Description

This course is about  basic knowledge of vectors in physics (for ib physics chapter 1.3). It will be useful to everyone who has started studying physics or wants to repeat it, regardless of the level or program. It contains basic ideas on how to work with vectors in the sections of mechanics, electricity, magnetism, fields. The course will be useful as an introduction to vector algebra when studying mathematics.

Quantities in physics are either scalars (i.e. they just have magnitude but no direction) or vectors (i.e. they have magnitude and direction).This course provides the tools you need for dealing with vectors. We treat scalar quantities as numbers (albeit with units) and use the rules of algebra when dealing with them. Vector quantities are those which have both magnitude and direction. We must use vector algebra when dealing with vectors since we must take into account direction. The vector equivalent of distance is called displacement (i.e., it is a distance in a specified direction). The vector equivalent of speed is velocity (i.e., it is the speed in a specified direction). We have different approach to this vectors and scalars quantities. Basic tools for vectors is:

– Scale drawing (graphical) approach

– Algebraic approach

– Addition of vectors (resultant vector)

– Subtraction of vectors


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– Multiplication of a vector by a scalar

– Components of a vector

– Reconstructing a vector from its components

– Right and left hand rule

– Scalar and vector multiplication

English
language

Content

Basic operations

Vectors and scalars
multiplication by a scalar
addition of vectors triangle rule
addition of vectors parallelogram rule
substraction of vectors
addition of several vectors
components along the axes (projection)
SOH CAH TOA
x, y – coponents of vectors
absolut value of vector

Introduction to vector algebra

coordinate of vector
addition of vectors in coordinats
scalar or dot product
angle between vectors
perpendicular vectors
cross product or vector product