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Vectors
Federal Board > Class 12 > Math (
Total Videos: 632
)
All Chapters
Chapter 1: Functions and Limits
Chapter 2: Differentiation
Chapter 3: Integration
Chapter 4: Introduction to Analytic Geometry
Chapter 5: Linear Inequalities and Linear Programming
Chapter 6: Conic Section
Chapter 7: Vectors
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Chapter 7: Vectors (
116 videos
)
  (
Practice Test
)
7.1: Introduction(
Practice Test
)
Scalar and Vector Quantities
Problem-Scalar and Vector Quantities
Terminologies and Notations of Vectors
Equal Vectors
Vectors which are Opposite
Problem-Vectors which are Opposite
Column Vectors
Addition of Vectors
Problem-Addition of Vectors
Vector Addition is Associative
Problem-Vector Addition is Associative
Zero Vectors
Subtraction of Vectors
Problem-Subtraction of Vectors
Scalar Multiple of a Vector
Problem-Scalar Multiple of a Vector
Expression of a Given Vector in Terms of two Vectors
Problem-Expression of a Given Vector in Terms of two Vectors
Position Vectors
Problem-Position Vectors
Properties of Magnitude of Vector
Problem-Properties of Magnitude of Vector
More on Notation for Representing Vectors in Plane
Problem-Notation for Representing Vectors in Plane
Components of a Vector
Properties of Vectors in Plane
More on Properties of Vectors in Plane
A Unit Vector in the Direction of Another Vector
Problem-A Unit Vector in the Direction of Another Vector
Notation for Vectors in Coordinate System
Problem-Notation for Vectors in Coordinate System
The Ratio Formula in Vector
Problem1-The Ratio Formula in Vector
Problem2-The Ratio Formula in Vector
Mid-Point Theorem By Vectors
Diagonals of Parallelogram Bisect Each Other by Vectors
Ratio Theorem By Vectors
Problem-Ratio Theorem By Vectors
7.2: Introduction of Vector in Space(
Practice Test
)
Introducing Vector Geometry
Problem-Introducing Vector Geometry
Concept of Vector in Space
Problem-Concept of Vector in Space
More on Vectors in Space
Properties of Vectors
Problem-Properties of Vectors
Vectors Addition in Space
Problem-Vectors Addition in Space
Scalar Multiplication in Space
Problem-Scalar Multiplication in Space
Notation of Vectors in Space
Problem-Notation of Vectors in Space
Distance Between Two Points in Space
Problem-Distance Between Two Points in Space
Direction Angles and Direction Cosines of Vector
Problem-Direction Angles and Direction Cosines of Vector
7.3: The Scalar Product of Two Vectors(
Practice Test
)
Scalar Product of Two Vectors
Problem-Scalar Product of Two Vectors
Properties of Scalar Product
More on Properties of Scalar Product
Problem-Properties of Scalar Product
Perpendicular Vectors
Problem-Perpendicular Vectors
Parallel Vectors
Problem-Parallel Vectors
Scalar Product of Vectors in Their Component Form
Problem-Scalar Product of Vectors in Their Component Form
Angle Between Two Vectors
Problem-Angle Between Two Vectors
Projection of One Vector Upon Another Vector
Problem-Projection of One Vector Upon Another Vector
Application of Scalar Product
Problem-Application of Scalar Product
Application of Scalar Product on Geometry
Problem-Application of Scalar Product on Geometry
More on Application of Scalar Product on Geometry
7.4: Cross Product or Vector Product of Two Vectors(
Practice Test
)
Cross Product of Two Vectors
Problem-Cross Product of Two Vectors
Derivation of Useful Results of Cross Product
Problem-Derivation of Useful Results of Cross Product
Expression of Cross Product in Terms of Components
Problem-Expression of Cross Product in Terms of Components
Cross Product of Unit Vectors
Properties of Cross Product
Problem-Properties of Cross Product
More on Properties of Cross Product
Analytical Expression of Cross Product
Direction Numbers or Direction Ratios
Problem-Direction Numbers or Direction Ratios
Collinear and Coplanar Vectors
Problem-Collinear and Coplanar Vectors
Vectors Application to Geometry
Problem1-Vectors Application to Geometry
Problem2-Vectors Application to Geometry
Moment of Force
Problem-Moment of Force
Condition of Parallel Vectors in Cross Product
Problem-Condition of Parallel Vectors in Cross Product
Area of Parallelogram by Vectors
Area of Triangle by Vectors
Vector Equation of Line in 3D
Problem-Vector Equation of Line in 3D
Application of Vector Equation
Problem1-Application of Vector Equation
Problem2-Application of Vector Equation
7.5: Scalar Triple Product of Vectors(
Practice Test
)
Scalar Triple Product
Problem-Scalar Triple Product
Vector Triple Product
More on Vector Triple Product
Analytical Expression of Triple Product
Problem-Analytical Expression of Triple Product
Volume of Parallelepiped by Triple Product
Problem-Volume of Parallelepiped by Triple Product
Volume of Tetrahedron by Triple Product
Problem-Volume of Tetrahedron by Triple Product
Properties of Triple Scalar Product
Problem-Properties of Scalar Triple Product
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