12 class Maths Notes Chapter 10 Vector Algebra free PDF| Quick revision Vector Algebra Notes class 12 maths

CBSE Revision Notes for CBSE Class 12 Mathematics Vector Algebra Vectors and scalars, magnitude and direction of a vector.Direction cosines and direction ratios of a vector. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors, scalar triple product of vectors.

Class 12 Maths Chapter-10 Vector Algebra Quick Revision Notes Free Pdf

🔷 Chapter - 10 🔷
👉  Vector Algebra 👈

VECTORS

1. VECTORS & THEIR REPRESENTATION

Vector quantities are specified by definite magnitude and definite directions. A vector is generally represented by a directed line segment, say AB. A is called the initial point and B is called the terminal point. The magnitude of vector AB is expressed by .

1.1 Zero Vector

A vector of zero magnitude is a zero vector i.e. which has the same initial & terminal point, is called a Zero Vector. It is denoted by ö. The direction of zero vector is indeterminate.

1.2 Unit Vector

A vector of unit magnitude in direction of a vector a is called unit vector along a and is denoted by â symbolically â .

1.3 Equal Vector

Two vectors are said to be equal if they have the same magnitude, direction & represent the same physical quantity.

1.4 Collinear Vector

Two vectors are said to be collinear if their directed line segments are parallel disregards to their direction. Collinear vectors are also called Parallel Vectors. If they have the same direction they are named as like vectors otherwise unlike vectors.

1.5 Coplanar Vector

A given number of vectors are called coplanar if their line segments are all parallel to the same plane. Note that "Two Vectors Are Always Coplanar".

1.6 Position Vector of A Point

2. ALGEBRA OF VECTORS

2.2 Multiplication of a Vector by a scalar

3. TEST OF COLLINEARITY

4. TEST OF COPLANARITY

5. PRODUCT OF VECTORS

5.1 Scalar product of two vectors

5.2 Vector product of two vectors 5.3 Scalar triple product

6. LINEAR COMBINATIONS

7. RECIPROCAL SYSTEM OF VECTORS