NCERT Solutions for Maths Class 12 Exercise 10.1

# NCERT Solutions for Maths Class 12 Exercise 10.1

Hello Students. In this post, you will find the complete NCERT Solutions for Maths Class 12 Exercise 10.1.

You can download the PDF of NCERT Books Maths Chapter 10 for your easy reference while studying NCERT Solutions for Maths Class 12 Exercise 10.1.

All the schools affiliated with CBSE, follow the NCERT books for all subjects. You can check your syllabus from NCERT Syllabus for Mathematics Class 12.

If you want to recall All Maths Formulas for Class 12, you can find it by clicking this link.

If you want to recall All Maths Formulas for Class 11, you can find it by clicking this link.

NCERT Solutions for Maths Class 12 Exercise 10.2

NCERT Solutions for Maths Class 12 Exercise 10.3

NCERT Solutions for Maths Class 12 Exercise 10.1

Maths Class 12 Ex 10.1 Question 1.

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

Solution:

On scale of 1 cm = 20 km, a line segment of 2 cm is drawn on the right of OY making an angle of 30° with it. OP = 40 km.
Vector
represents displacement of 40 km, 30° east of north.

Maths Class 12 Ex 10.1 Question 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) The mass of 10 kg has magnitude only. Therefore, this is a Scalar Quantity.
(ii) The displacement of 2 metres north-west has magnitude and direction both. Therefore, this is a Vector Quantity.
(iii) The angle of 40° has magnitude only. Therefore, this is a Scalar Quantity.
(iv) The power of 40 watt has magnitude only. Therefore, this is a Scalar Quantity.
(v) The charge of 10-19 coulomb has magnitude only. Therefore, this is a Scalar Quantity.
(vi) The acceleration of 20 m/s² has magnitude and direction both. Therefore, this is a Vector Quantity.

Maths Class 12 Ex 10.1 Question 3.

Classify the following as scalar and vector quantities.
(i) time period                                 (ii) distance
(iii) force                                          (iv) velocity
(v) work done

Solution:

(i) The quantity time period has magnitude only. Therefore, this is a Scalar Quantity.

(ii) The quantity distance has magnitude only. Therefore, this is a Scalar Quantity.

(iii) The quantity force has magnitude and direction both. Therefore, this is a Vector Quantity.

(iv) The quantity velocity has magnitude and direction both. Therefore, this is a Vector Quantity.

(v) The quantity work done has magnitude only. Therefore, this is a Scalar Quantity.

Maths Class 12 Ex 10.1 Question 4.

In the given figure (a square), identify the following vectors.
(i) Co-initial                    (ii) Equal                      (iii) Collinear but not equal

Solution:

(i) Co-initial vectors are, because they start from the same point.

(ii) Equal vectors are, because they have equal magnitude and the same direction.

(iii) Collinear but not equal vectors are, because they have equal magnitude but opposite directions.

Maths Class 12 Ex 10.1 Question 5.

Answer the following as true or false.
(i)
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

(ii) False

(iii) False

(iv) False