Vector For Beginners 2023

Vector Definition and notation, vector algebra, law of polygon, resolving a vector

What you'll learn

Vector definition

Component of vector

How to add, subtract and multiply vectors?

Problem solving skills

Requirements

No prior knowledge of vectors required.

basic trigonometry

Description

Physics deals with a great many quantities that have both size and direction, and it needs a special mathematical language—the language of vectors—to describe those quantities. This language is also used in engineering and the other sciences. In this course you will learn followingDefinition of vectors: Why vector has direction?Vector notationsCondition for equal vectorsTypes of vectorFree vector. Sliding Vector, Bound vectorVector algebraGraphical methodAdding/ subtracting vectors using triangle lawAdding/ subtracting vectors using parallelogram lawAdding/ subtracting vectors using polgon lawLimitation Of graphical methodAnalytical MethodAdding/ subtracting vectors using cosine law.Limitation of cosine law. What is component of a vector? [Resolving a vector]Writing vector in a component formFinding magnitude and direction of vector given in component form.Component method to find resultantUnit vectors and Vector in three dimension.Multiplication of vectors.Scalar multiplied to a vectorScalar product or Dot productApplication of Dot productTo find angle between two vectorsTo prove vectors are perpendicular to each otherTo find component of a vectorCross productApplication of cross productTo prove vectors are parallelTo find areaWe will discuss many problems for better comprehension of the topic.

Overview

Section 1: Introduction

Lecture 1 Introduction

Section 2: Definition Of Vector

Lecture 2 Vector Definition

Section 3: Vector Algebra

Lecture 3 Graphical Method

Lecture 4 Law Of Triangle

Lecture 5 Law Of Parallelogram

Lecture 6 Problem Discussion [Triangle Law or Parallelogram Law]

Lecture 7 Law Of Polygon

Lecture 8 Subtraction

Lecture 9 Limitation Of Graphical Method

Lecture 10 Problem Discussion

Section 4: Vector Algebra Continued….

Lecture 11 Analytical Method

Lecture 12 Cosine Law

Lecture 13 Subtraction Using Cosine Law

Lecture 14 Limitation Of Cosine Law

Lecture 15 Problem Discussion

Section 5: Further Vector Algebra

Lecture 16 Component of Vector: A Geometrical Construction

Lecture 17 Problem Discussion

Lecture 18 How To Find Component of A Vector?

Lecture 19 Further, How To Find Component Of A Vector?

Lecture 20 Problem Discussion

Lecture 21 Unit Vector

Lecture 22 Writing Vector In Componenet Form

Lecture 23 Problem Discussion: Component Form

Lecture 24 Component Form And Addition/Subtraction Of Vector

Lecture 25 How To Find Magnitude And Direction Of Vector From Component Of Vector?

Lecture 26 Problem Discussion: Component Form to Magnitude/Direction Form

Lecture 27 Vector in 3 Dimension

Lecture 28 Vector in 3 D: Component Form

Lecture 29 Vector in 3 D: Finding Magnitude From Component Form

Lecture 30 Vector in 3 D: Finding Direction From Component Form

Lecture 31 Vector in 3 D: Another Perspective

Lecture 32 Vector in 3 D: Results

Lecture 33 Component Method: Addition & Subtraction

Lecture 34 Problem Discussion: Component Method

Section 6: Multiplying Vectors

Lecture 35 Three Cases

Lecture 36 Case 1

Lecture 37 Problem Discussion: Case 1

Lecture 38 Case 2: Scalar Product

Lecture 39 Problem Discussion

Lecture 40 Application Of Dot Product

Lecture 41 Problem Discussion: Dot Product

Lecture 42 Case 3: Cross Product

Lecture 43 Application Of Cross Product

Lecture 44 Problem Discussion: Cross Product

class XI/XII,preparing for variuos competitive examinations in india(JEE/NEET),AP Physics