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2nd Year Math Notes Of Chapter 7 [VECTORS] Download With Free PDF


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See Also : 2nd year math notes of chapter 2

Don't worry. Here You will get the complete 2nd year math notes of chapter 7 vectors.
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Do you know?
Fedral board and Punjab boards have same syllabus.
Before proceeding further, find out which slabs these notes suit. it may not be that you prepare them accordingly, but your slabs are something else.


These notes are made for the federal board and all Punjab BISE.

What is inside the 2nd Year Math Notes PDF Of Ch 7?

2nd year math notes of chapter vectors consist of the following topics or you can say that with the help of chapter 7 , 2nd year math notes you will be able to solve the questions regarding the following topics.

Introduction to the Geometric Interpretation of Vector, Multiplication of Vector by a Scalar and Addition and Subtraction of two vectors. After this, you will be able to find the Position Vector, Vector in Plane, and Properties of Magnitude of a Vector.

 Next Questions related to Another Notation for representing Vectors in Plane, A Unit Vector in the Direction of another given Vector, The Ratio Formula, and  Vector Geometry. Exercise 7.1 consists of all the topics discussed above.

 Then in Exercise 7.2, the following concept is discussed Introduction of Vector in Space, Concept of a Vector in Space, Properties of Vector, Another notation for representing Vectors in Space, Distance between two Points in Space and Direction Angles and Direction of a Vector.

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Exercise 7.3 cleared the concept related to The Scalar Product of Two Vectors, Deductions of the Important Results, Perpendicular (Orthogonal) Vectors, Properties of Dot ProductAnalytically Expression of Dot Product u⋅v, Angle between two Vectors and Projection of One Vector upon another Vector.

Exercise 7.4 consists of the concept related to the cross product.

Scalar Triple Product of Vectors, Analytically Expression of u⋅(v×w), The Volume of the Tetrahedron, and Application of Vectors in Physics and Engineering discussed in exercise 7.5.


There are only 5 exercise in PDF of 2nd year math notes of chapter 4.


How You Can Get 2nd Year Math Notes Of Ch 7  PDF?

You can easily get the pdf of ch 7, 2nd year math notes  by clicking on the following two-button after clicking You will be able to 
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Without wasting your time. Here is the complete solution of chapter 4, introduction to analytic geometry.

Chapter 7, 2nd Year Math Notes


PDF  Chapter 7
Size: 6 MB | Pages:31 | Content: All Solved Exercises



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Al-Qalam Coaching Center: 2nd Year Math Notes Of Chapter 7 [VECTORS] Download With Free PDF
2nd Year Math Notes Of Chapter 7 [VECTORS] Download With Free PDF
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