Hello friends, welcome you to our blog. In this post, we have an awesome book that's called "Cengage vectors & 3D geometry" and it is very helpful for IITJEE preparation.

BEST IITJEE PREPARATION BOOKS |

#### ☆ CHAPTERS AND TOPICS IN THIS BOOK ARE:-

》INTRODUCTION TO VECTORS

• Coordinates of a point in space

• Distance between two points

• Section formula

• Internal division

• External Division

• Definition of vector

• Position vector

• Direction Cosines

• Zero vector

• Null vector

• Coinitial vector

• Equal vector

• Negative of a vector

• Free vector

• Localised vectors

• Parallel vectors

• Like and unlike vectors

• Collinear vectors

• Non collinear vectors

• Coplanar vectors

• Properties of vector addition

• Components of a vector

• Multiplication of a vector by scaler

• Vector joining two points

• Vector along the bisector of two given vectors

• Linear combination

• Linearly dependent

• Linearly independent

### ◇ ALSO WATCH:- PROBABILITY BY W. FELLER

》DIFFERENT PRODUCT OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

• Scaler or Dot product

• Physical interpretation of dot product

• Geometrical interpretation of dot product

• Properties of dot product

• Applications of dot product

• Finding angle between two vectors

• Cosine rule using dot product

• Resolving a given vector in the direction of two given perpendicular vectors

• Cross product of two vectors

• Properties of cross product

• Physical interpretation of cross product as a moment of force

• Geometric interpretation of cross product

• Scaler Triple Product

• Geometrical interpretation

• Properties of scaler triple product

• Vector Triple Product

• Volume of tetrahedron

• Lagrange's Identity

• Reciprocal System of vectors

》THREE DIMENSIONAL {3D} GEOMETRY

• Direction ratios and cosines

• Equation of a straight line passing through a given point and parallel to a given vector

• Vector form

• Cartesian form

• Equation of a line passing through two given points

• Angle between two lines

• Perpendicular distance of a point from a line

• Foot of perpendicular from the point on a given line

• Image of a point in the given line

• Shortest distance between two lines

• Shortest distance between two Non-coplaner lines

• Condition of lines to intersect

• Distance between two parallel lines

### ◇ MUST SEE:- CALCULUS BY I.A MARON

》PLANE

• Equation of a plane in normal form

• Vector equation of a plane passing through a given point and normal to a given vector

• Equation of a plane passing through three given points

• Equation of a plane that passes through point A with position vector a~ and is parallel to given vectors b~ and c~

• Equation of a plane passing through a given point and a line

• Intercept form of a plane

• Equation of a plane passing through two parallel lines

• Equation of a plane parallel to a given plane

• Angle between two planes

• Condition for perpendicularity

• Condition for parallelism

• Line of intersection of two planes

• Angle between a line and a plane

• Equation of a plane passing through the line of intersection of two planes

• Cartesian form

• Distance of a point from a plane

• Vector form

• Cartesian form

• Image of a point in a plane

• Distance between parallel planes

• Equation of a plane bisecting the angle between two planes

• Two sides of a plane

• Regular tetrahedron

• Angle between any edge and face not containing that edge of regular tetrahedron

• Angle Between two face of regular tetrahedron

• Height of regular tetrahedron

• Equation of a sphere

• Diameter form of the equation of a sphere

#### ☆ EACH OF THESE CHAPTERS CONTAINS "EXERCISE QUESTIONS" IN THE FORM OF:-

• Subjective type

• Single correct

• Multiple Correct

• Reasoning type

• Linked comprehension

• Matrix match

• Integer type

• Archieves

• Answers

》 So friends if you want to suggest a book or any query, feel free to contact me through the contact box or directly email.

I will try my best to resolve that issue.

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