# NCERT Solutions Class 12 Maths Chapter 10 Exercise 10.3 Vector Algebra

NCERT solutions for class 12 maths chapter 10 exercise 10.3 vector algebra talks about the dot product or scalar multiplication of vectors and the projection of a vector along a line. Students have already learned that functions can be multiplied in two ways, namely, multiplication of two functions pointwise and composition of two functions. Similarly, for vectors, we can find the scalar (or dot) product where the result is a scalar and the vector (or cross) product where the resultant is a vector. We specifically target the former concept in this exercise and go through a list of observations depending upon the measure of the angle in the formula. Furthermore, the NCERT solutions class 12 maths chapter 10 exercise 10.3 shows us that if a vector AB makes an angle θ with a given directed line l, in the anticlockwise direction then the projection of the vector on l is given by another vector that could be in the same or the opposite direction of AB.

Class 12 maths NCERT solutions chapter 10 exercise 10.3 vector algebra has 18 well-researched questions that help kids to apply the above-mentioned concepts to several levels of problems thus, enabling them to develop a strong understanding of the subject matter. The link is given below can be used to access the solutions to all exercise problems.

**ā** Download NCERT Solutions Class 12 Maths Chapter 10 Exercise 10.3

**Exercise 10.3 Class 12 Chapter 10 **

### More Exercises in Class 12 Maths Chapter 10

- NCERT Solutions Class 12 Maths Chapter 10 Ex 10.1
- NCERT Solutions Class 12 Maths Chapter 10 Ex 10.2
- 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 10.3 Formulas

NCERT solutions class 12 maths chapter 10 vector algebra has two major properties of dot product that students must be well-versed in.

- Property 1: (Distributivity of scalar product over addition) Let a, b, c be any three vectors, then

a . (b + c) = a.b + a.c

- Property 2: Let be a and b be any two vectors, and k be any scalar, then

(ka).b = k(a.b) = a.(kb)

Students must remember to go through the steps given in the NCERT solutions class 12 maths chapter 10 exercise 10.1 properly so as to not make any mistakes.

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