NCERT Solution Class 12 Chapter 10- Vector Algebra Exercise 10.1

The Exercise 10.1 of NCERT Solutions for Class 12 Maths Chapter 10- Vector Algebra is based on the following topics:

  1. Introduction
  2. Basic Concepts
    • Position Vector
    • Direction Cosines
  3. Types of Vectors
    • Zero Vector
    • Unit Vector
    • Coinitial Vectors
    • Collinear Vectors
    • Equal Vectors
    • Negative of a Vector

Solving the problems of this exercise will help the students understand the topics mentioned above in a better way.

Download PDF of NCERT Solutions for Class 12 Maths Chapter 10- Vector Algebra Exercise 10.1

Access Answers of Maths NCERT Class 12 Maths Chapter 10- Vector Algebra Exercise 10.1 Page Number 428

ncert sol c12 maths ch10 ex 1 1
ncert sol c12 maths ch10 ex 1 2

Access other exercises of Class 12 Maths Chapter 10

Exercise 10.2 Solutions 19 Questions

Exercise 10.3 Solutions 18 Questions

Exercise 10.4 Solutions 12 Questions

Miscellaneous Exercise On Chapter 10 Solutions 19 Questions

Access Answers of Maths NCERT Class 12 Chapter 10 – Vector Algebra

1. Represent graphically a displacement of 40 km, 30° east of north.

Solution:

NCERT Solutions Class 11 Mathematics Chapter 10 Vector Algebra ex.10.1 - 1

The vector
NCERT Solutions Class 11 Mathematics Chapter 10 Vector Algebra ex.10.1 - 2represents the displacement of 40 km, 30o east of north.

2. Classify the following measures as scalars and vectors.

(i) 10 kg (ii) 2 metres north-west (iii) 40°

(iv) 40 watt (v) 10–19 coulomb (vi) 20 m/s2

Solution:

(i) 10 kg is a scalar quantity because it has only magnitude.

(ii) 2 meters north-west is a vector quantity as it has both magnitude and direction.

(iii) 40° is a scalar quantity as it has only magnitude.

(iv) 40 watts is a scalar quantity as it has only magnitude.

(v) 10–19 coulomb is a scalar quantity as it has only magnitude.

(vi) 20 m/s2 is a vector quantity as it has both magnitude and direction.

3. Classify the following as scalar and vector quantities.

(i) time period (ii) distance (iii) force

(iv) velocity (v) work done

Solution:

(i) Time period is a scalar quantity as it has only magnitude.

(ii) Distance is a scalar quantity as it has only magnitude.

(iii) Force is a vector quantity as it has both magnitude and direction.

(iv) Velocity is a vector quantity as it has both magnitude as well as direction.

(v) Work done is a scalar quantity as it has only magnitude.

4. In Figure, identify the following vectors.

NCERT Solutions Class 11 Mathematics Chapter 10 Vector Algebra ex.10.1 - 3

(i) Coinitial (ii) Equal (iii) Collinear but not equal

Solution:

NCERT Solutions Class 11 Mathematics Chapter 10 Vector Algebra ex.10.1 - 4directions are not the same.

5. Answer the following as true or false.

(i) NCERT Solutions Class 11 Mathematics Chapter 10 Vector Algebra ex.10.1 - 5 andNCERT Solutions Class 11 Mathematics Chapter 10 Vector Algebra ex.10.1 - 6are 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 
NCERT Solutions Class 11 Mathematics Chapter 10 Vector Algebra ex.10.1 - 7 and
NCERT Solutions Class 11 Mathematics Chapter 10 Vector Algebra ex.10.1 - 8are parallel to the same line.

(ii) False.

Collinear vectors are those vectors that are parallel to the same line.

(iii) False.

Two vectors having the same magnitude need not necessarily be parallel to the same line.

(iv) False.

Only if the magnitude and direction of two vectors are the same, regardless of the positions of their initial points the two vector are said to be equal.

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