# 2nd Year Math Notes Of Chapter 7 [VECTORS] 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.

__2nd Year Math Notes Of Chapter 7 For Which Board?__

- Lahore Board
- Sargodha Board
- Gujranwala Board
- Multan Board
- Rawalpindi Board
- Faisalabad Board
- DGKhan Board
- Sahiwal Board
- Bahawalpur Board
- AJK Mirpur Board

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Do you know?

All Punjab boards have same syllabus.

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

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 7.

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

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__Chapter 7, 2nd Year Math Notes Download__

__Chapter 7, 2nd Year Math Notes Download__

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