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**.

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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.

Vectorrepresents
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

**Related Links:**

**NCERT Solutions for Maths Class 12 Exercise 10.2**

**NCERT Solutions for Maths Class 12 Exercise 10.3**