This chapter has eight sections. The first chapter contains an introduction to vectors. The basic definition of the vector can be an arrow in the Euclidean plane and vector has both magnitude and direction. An elaborate explanation of nine types of vectors like Zero vectors, Unit vectors, Collinear vectors etc. is provided in this section. The second section deals with Basic vector operations. This section covers addition and subtraction of vectors, multiplication of a vector by a scalar, the basis of a vector space, resolution of a vector in a given basis etc. The third section deals with Dot product. In this section, we will learn how we can define the product of two vectors. In section four, we will learn about another form of vector product “Cross Product” that is extremely useful to discuss different physical phenomena. The section five deals with Scalar triple production. As the name suggests, a scalar triple product involves the (scalar) product of three vectors. We will learn about how such a product be defined in this section. The section six deals with Vector triple product and this is explained extensively with appropriate examples. The section seven deals with the topic “More geometry with vectors”. The vectors approach to geometrical problems is dealt with more deeply in this section. At the end of this section, we have a series of exercises to test your understanding of this chapter, solved examples, previous years’ IIT JEE questions pertaining to this chapter.

In addition to preparing for the JEE mains and advanced exams, Cuemath Founder Manan Khurma's study material is helpful for students who are appearing for CBSE, ICSE and other State board exams.

Basics of Vectors

Vector Dot and Cross Products

Scalar and Vector Triple Products

Geometrical Analysis With Vectors

Vectors

 

Download practice questions along with solutions for FREE:
Vectors
grade 11 | Questions Set 1
Vectors
grade 11 | Answers Set 1
Vectors
grade 11 | Questions Set 2
Vectors
grade 11 | Answers Set 2
Download practice questions along with solutions for FREE:
Vectors
grade 11 | Questions Set 1
Vectors
grade 11 | Answers Set 1
Vectors
grade 11 | Questions Set 2
Vectors
grade 11 | Answers Set 2
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