# NCERT Solutions Class 12 Maths Chapter 10 Exercise 10.1 Vector Algebra

NCERT solutions for class 12 maths chapter 10 exercise 10.1 vector algebra is basically focused on giving kids an understanding of the basic concepts related to vectors. Kids are taught how to use the symbol of a vector with the help of a directed line segment that is used to show the direction and magnitude of a vector. The next concept that students learn is that of the position vector. Suppose we have a point P in space, having coordinates (x, y, z) with respect to the origin O (0, 0, 0). Then the position vector of the point P with respect to O is the vector having O and P as its initial and terminal points, respectively. The most important part of NCERT solutions class 12 maths chapter 10 exercise 10.1 is that of direction cosines. These can be defined as the cosine values of the direction angles made by a vector.

The Class 12 maths NCERT solutions chapter 10 exercise 10.1 vector algebra has 5 questions that are very easy and are driven towards improving a child’s understanding of vector notation and basic concepts that will be used in the upcoming sections. It also teaches them to identify whether a given quantity such as mass, displacement, etc., is a vector or a scalar. Given below is the link to access the PDF solution of this exercise.

**ā** Download NCERT Solutions Class 12 Maths Chapter 10 Exercise 10.1

**Exercise 10.1 Class 12 Chapter 10 **

### More Exercises in Class 12 Maths Chapter 10

- NCERT Solutions Class 12 Maths Chapter 10 Ex 10.2
- NCERT Solutions Class 12 Maths Chapter 10 Ex 10.3
- NCERT Solutions Class 12 Maths Chapter 10 Ex 10.4
- NCERT Solutions Class 12 Maths Chapter 10 Miscellaneous Ex

## NCERT Solutions Class 12 Maths Chapter 10 Exercise 10.1 Tips

NCERT solutions class 12 maths chapter 10 vector algebra categorizes the different types of vectors and children must be able to identify them. Some of these are given below:

- Zero Vector: A vector whose initial and terminal points coincide.
- Unit Vector: A vector whose magnitude is unity (i.e., 1 unit).
- Coinitial Vectors: Two or more vectors having the same initial point.
- Negative of a Vector: A vector whose magnitude is the same as that of a given vector but direction is opposite to that of it.
- Equal Vectors: Two vectors are said to be equal if they have the same magnitude and direction regardless of the positions of their initial points.

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