NCERT Solutions for Class 12 Maths Chapter 10 Exercise 10.1
NCERT Solutions for Class 12 Maths Chapter 10 Exercise 10.1 contains all the questions with detailed solutions. Students are advised to solve these questions for better understanding of the concepts in exercise 9.6.
Krati Saraswat12 Feb, 2024
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NCERT Solutions for Class 12 Maths Chapter 10 Exercise 10.1 (Vector Algebra)
NCERT Solutions for Class 12 Maths Chapter 10 Exercise 10.1 Vector Algebra is prepared by the academic team of Physics Wallah. We have prepared NCERT Solutions for all exercise of Chapter 10. Given below are step-by-step solutions to all questions given in the NCERT Solutions for Class 12 Maths Chapter 10 Exercise 10.1.NCERT Solutions for Class 12 Maths Chapter 10 Miscellaneous Exercise
NCERT Solutions for Class 12 Maths Chapter 10 Exercise 10.1 Overview
NCERT Solutions for Class 12 Maths Chapter 10 Exercise 10.1 cover several important topics. It is highly recommended for students to review each topic thoroughly in order to gain a comprehensive understanding of the concepts taught in the chapter and make optimal use of the provided solutions. These solutions are the result of dedicated efforts by the Physics Wallah teachers aimed at assisting students in grasping the concepts covered in this chapter. By going through and practicing these solutions, the objective is for students to achieve excellent results in their exams effortlessly.NCERT Solutions for Class 12 Maths Chapter 10 Exercise 10.1
Solve The Following Questions of NCERT Solutions for Class 12 Maths Chapter 10 Exercise 10.1:
Question 1. Represent graphically a displacement of 40 km, 30° east of north. Solution : Displacement 40 km, 30° East of North
Here, vector
represents the displacement of 40 km, 30° East of North.
NCERT Solutions for Class 12 Maths Chapter 10 Exercise 10.2
Question 2. Check the following measures as scalars and vectors: (i) 10 kg (ii) 2 meters north-west (iii) 40° (iv) 40 Watt (v) 10 –19 coulomb (vi) 20 m/sec 2 Solution : (i) 10 kg is a measure of mass, it has no direction, it is magnitude only and therefore it is a scalar. (ii) 2 meters North-West us a measure of velocity. It has magnitude and direction both and hence it is a vector. (iii) 40° is a measure of angle. It has no direction, it has magnitude only. Therefore it is a scalar. (iv) 40 Watt is a measure of power. It has no direction, only magnitude and therefore, it is a scalar. (v) 10 –19 coulomb is a measure of electric charge and it has magnitude only, therefore, it is a scalar. (vi) 20 m/sec 2 is a measure of acceleration. It is a measure of rate of change of velocity, therefore, it is a vector.
NCERT Solutions for Class 12 Maths Chapter 10 Exercise 10.3
Question 4. In the adjoining figure, (a square) identify the following vectors:
(i) Coinitial
(ii) Equal
(iii) Collinear but not equal
Solution :
(i)
and
have same initial point and therefore coinitial vectors.
(ii)
and
have same direction and same magnitude. Therefore
and
are equal vectors.
(iii)
and
have parallel support, so that they are collinear. Since they have opposite directions, they are not equal. Hence
and
are collinear but not equal.
Question
5. Answer the following as true or false:
(i)
and -
are collinear.
(ii) Two collinear vectors are always equal in magnitude.
(iii) Two vectors having same magnitude are collinear.
(iv) Two collinear vectors having the same magnitude are equal.
Solution :
(i) True. Vectors
and-
are parallel to the same line.
(ii) False.
Collinear vectors are those vectors that are parallel to the same line.
(iii) False.
Collinear vectors are those vectors that are parallel to the same line.
(iv) False.
Two vectors are said to be equal if they have the same magnitude and direction, regardless of the positions of their initial points.
NCERT Solutions For Class 12 Maths Chapter 10 Exercise 10.1 FAQs
How many exercises are there in vector algebra class 12?
NCERT Solutions Class 12 Maths Chapter 10 Vector Algebra consists a total of 63 questions distributed across 5 exercises, including a miscellaneous one. Each exercise focuses on a different concept of vectors and offers a diverse range of problems, ranging from simple to complex, to provide students with a comprehensive understanding of the subject.
Is vectors class 12 easy?
Vector Algebra is considered a moderately difficult chapter in CBSE Class 12 Mathematics. However, it can be scoring if students prepare it thoroughly. Science students, especially those who have studied Class 11 Physics, may have an advantage as they become familiar with the concepts of vectors early on.
Where can I find NCERT Solutions for Class 12 Maths Chapter 10 Exercise 10.1?
NCERT Solutions for Class 12 Maths Chapter 10 Exercise 10.1 are available on Physics Wallah.
Are NCERT Solutions for Class 12 Maths Chapter 10 Exercise 10.1 beneficial for exam preparation?
Yes, NCERT Solutions for Class 12 Maths Chapter 10 Exercise 10.1 are highly beneficial for exam preparation as they provide step-by-step explanations and solutions to all the questions in the exercise, helping students understand the concepts and practice problem-solving.
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