Hello Students. In this post, you will find the complete NCERT Solutions for Maths Class 12 Exercise 10.1.
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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 10.4
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
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
(i) Co-initial vectors are
(ii) Equal vectors are
(iii) Collinear but not equal vectors are
Maths Class 12 Ex 10.1 Question 5.
Answer the following as true or false.
(i) 
(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
Related Links:
NCERT Solutions for Maths Class 12 Exercise 10.2
NCERT Solutions for Maths Class 12 Exercise 10.3