NCERT Exemplar Class 12 Maths Solutions Chapter 10 Vector Algebra
NCERT exemplar class 12 Maths solutions chapter 10 Vector Algebra helps in answering questions like What is your weight? How should a footballer hit the ball to score a goal? The answers to both these questions would be very different. The answer to the former could be 50 kg, a quantity which has the presence of only one value. The second question's answer is quantities that consist of muscle strength, the direction of the foot and the ball, the air current, and the other players' distance. Such quantities are called Vectors and are discussed in detail in NCERT exemplar class 12 Maths solutions chapter 10.
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NCERT exemplar class 12 Maths chapter 10 solutions would help achieve academic excellence, be it in the 12th board exams or additional exams, get rid of doubts in fundamental concepts, and promote intellectual curiosity. The students can also use NCERT exemplar class 12 Maths solutions chapter 10 PDF download, to access the solutions offline.
Sub-topics Covered in NCERT exemplar solutions for class 12 Maths chapter 10 Vector Algebra
The sub-topics that are covered under the class 12 Maths NCERT exemplar solutions chapter 10 Vector Algebra are:
10.1 Basic concepts
10.1.1 Directed line
10.1.2 Terminal point
10.1.4 Position Vectors
10.1.5 Direction cosines
10.2 Types of Vectors
10.2.1 Zero Vectors
10.2.2 Unit Vectors
10.2.3 Co-initial Vectors
10.2.4 Collinear Vectors
10.2.5 Equal Vectors
10.2.6 Negative of a Vector
10.3 Addition of Vectors
10.3.1 Properties of Vector Addition
10.4 Multiplication of a Vector by a Scalar
10.4.1 Components of a Vector
10.4.2 Vector joining two points
10.4.3 Section formula
10.5 Product of two Vectors
10.5.1 Scalar(or dot) product
10.5.2 Projection of a Vector on a line
10.5.3 Vector(or cross) product
What can you learn in NCERT exemplar class 12 Maths chapter 10 solutions?
- Class 12 Maths NCERT exemplar solutions chapter 10 explore the real-world concepts and applications of Vectors. Vectors have several real-world uses in Aerospace, Fluid concepts, Complex calculations, sports, etc.
- They have applications in electromagnetism, hydrodynamics, blood flow, calculation of the distance between aircraft in space and the angle between their paths.
- Their broad range of reach also includes setting up Solar panels considering the roof's location and the direction of the sunbeams.
- Vectors are used to launch satellites, calculate the distance between their panels, find their prospective trajectory, develop new targeting techniques in warfare, count on-location services like GPS, calculate the ball's trajectory on a field, and a thousand other areas. Knowledge of all the aspects of Vector algebra can help one do well in academics and find out how the world works.
NCERT Exemplar Class 12 Maths Solutions
Benefits of NCERT exemplar class 12 Maths chapter 10 solutions
- NCERT exemplar solutions for class 12 Maths chapter 10 define Vector algebra as a type of algebra that involves vector form elements (having magnitude and direction), and their algebraic expression follows vector laws.
- If quantities revolving around velocity, displacement, acceleration, force, weight, spark immediate curiosity in you, class 12 Maths NCERT exemplar solutions chapter 10 will be fun
- In this chapter, we will explore some concepts of vectors, the basic algebraic operations of vector and scalar addition and multiplication, their properties related to vector algebra, the geometric properties, the properties to be followed for the proper visualisation of vectors, and their applications and uses in the modern world.
NCERT Exemplar Class 12 Solutions
Also, check NCERT Solutions for questions given in book:
Frequently Asked Question (FAQs) - NCERT Exemplar Class 12 Maths Solutions Chapter 10 Vector Algebra
Question: What are the topics covered in the chapter?
This basic maths chapter covers the topics like vectors, properties, vector by scalar, types of vector etc.
Question: Who can benefit from these solutions?
Students appearing for the 12th board exams and those who are preparing from entrance exams for engineering can make use of NCERT exemplar class 12 maths solutions chapter 10.
Question: How to download these solutions?
One can use NCERT exemplar class 12 Maths solutions chapter 10 pdf download by an online webpage to pdf converter
Question: How many questions are solved in these solutions?
Our experts have covered all the questions and have given NCERT exemplar solutions for class 12 maths chapter 10 for main exercise of the chapter.
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Questions related to CBSE Class 12th
if any candidate has compartment in cbse any one subject but then candidate passed compartment exam then he / she is not eligible for upcet exam
If a candidate has cleared that compartment exam, then he/she is eligible for the exam. As the final result will not include your compartment result, it will depict your overall result after passing the compartment or reappear marks.
Hope this helps.
Good Luck :)
when cbse class 12 date sheet will be released for 2020-21
Central Board of Secondary Education (CBSE) will release the CBSE term 1 exam dates 2021-22 on October 18 on the official website- cbse.gov.in. The exams are expected to begin from November 15 and go on till December 2021. Once released, the CBSE Class 12 date sheet 2022 will be made available on our website for students and parents. Students preparing for the CBSE Class 12th board exams 2022 should download and save the date sheet and refer to it for preparation of different subjects.
Hope this helps!
CBSE class 12th exam date 2022
CBSE have not yet released the date sheet of class 12th board exam, it is expected that the board will release CBSE class 12th term 1 datesheet on 18th October 2021, the datesheet will be available on the official website for term 1 on 18th October 2021 on cbse.gov.in
The board will release the datesheet for all the steam ie. Arts, science and commerce, the exam for skill subjects will start from 15th November and the exam for mains subjects will start from 24th November, the board will conduct class 12th exam in two terms, where 50% syllabus will be covered in term 1 and another 50% will be covered in term2.
For more relevant information, you may visit here:
Hope this helps, all the best.
In Neet 2021 phase 2 details, the selection for code for class 12th is quite confusing. It is for CBSE class 12th 2021 passed out. so what code should be entered. can you clarify this
You need to choose the code 2 .
This is because,
Now your results are out and you have passed it and code 2 says it is for all those who have passed their 10+2/higher /senior secondary/ Indian School Certificate Examination with physics, chemistry, biology/biotechnology and English
Here's a short brief of Neet codes :-
--------) Code 1 :- code 1 is for class 12th board 2021 examination appearing students with physics, chemistry, biology and English or have have already appeared but results are awaited i. e have not been declared.
--------) Code 2 :- code 2 is for all those who have passed their 10+2/higher /senior secondary/ Indian School Certificate Examination with physics, chemistry, biology/biotechnology and English
--------) Code 3 :- code 3 says it is for those passed their intermediate / pre- degree examination with physics, chemistry, biology/biotechnology and English ,your physics, chemistry and biology/biotechnology should also contain practical exam.
--------) Code 4 :- pre - medical degree with Physics, chemistry and biology/biotechnology after passing hsc i. e 10+2 or puc or equivalent.
--------) Code 5 :- code 5 is for all those who have passed 1 st year graduation with all the three of Physics, chemistry and biology/biotechnology
--------) Code 6 :- code 6 is for all those students who have passed BSc with at least any two of following subjects :-
--------) Code 7 :- code 7 is for those who have passed their examination from foreign board which is equivalent of Indian 10+2 board.
For more about codes visit
Your neet 2021 application/registration is divided in 2 parts:-
1st part/phase of registration to be filled before neet 2021 examination
2nd part/phase registration to be filled after neet 2021 examination
NTA has opened the window for neet phase 2 cum phase 1 correction on 1st october 2021 and the last date for it is 10th October upto 11:50 pm
To fill neet phase-2 registration, you can follow the below steps:
-----------) First of visit the official website i. e neet.nta.nic.in
-----------) Then click on NEET phase -2 registration.
To make it even easier for you the direct link is given below :- https://testservices.nic.in/NEET2021/Root/home.aspx?appFormId=101042111
-----------) Now, log in using your log in credentials
-----------) Fill the details asked , recheck everything.
-----------) Finally, click on the submit button.
For details checkout
------------------) Documents to be uploaded in part/phase 2 of application form filling
>>>>>>Your Class X pass certificate
size: 50 kb to 300kb
>>>>>>category certificate if you belong to ews/ obc /sc/st
size: 50kb to 300kb
>>>>>>PwBD certificate ( if applicable)
size: 50kb to 300kb
>>>>>> Citizenship certificate or Embassy certificate or any kind of Documentary proof for Citizenship certificate ( for foreign applicants)
file size: 50 kb to 300 kb
For complete details about documents visit :- https://medicine.careers360.com/articles/neet-photo-size-format-documents
To help you further,
last 3 years neet qualifying cut off data is given below for reference
. Year wise cut off marks
Category 2020 2019 2018
General 720-147 701-134 691-119
UR-PH 146-129 133-120 118-107
Obc/sc/st 146-113 133-107 118 - 96
You can check the same at
To get the complete list of colleges in which you have chances, you can go through our college predictor at
It gives you a personalized report with top college in which you have chances for admission , with the help of predicted colleges you can make better choice while filling your choices of colleges during your counselling
jac class 12 th Compamental result 2021 declare date
Hope you are doing well.
JAAC 12th compartment results will be announced in September 2021 by the Jharkhand Academic Council. The compartment results for the 12th board of examination will be available online at jacresults.com, the official result website. It is possible for students to check the JAC inter compartment result 2021 in the same way that they can check the annual JAC 12th result 2021.
To view the JAC 12th compartmental result 2021, they must first enter their roll number and roll code. July 2021 will be the date for the 12th compartment examination of the Joint Assessment Commission. The results of the JAC intermediate compartment were announced online on December 29, 2020, which was the same date as the previous season.
Hope you got the answer to your question. Incase of any queries, feel free to question. Have a great day!