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Textbook | NCERT |

Board | CBSE |

Category | NCERT Solutions |

Class | Class 12 |

Subject | Maths |

Chapter | Chapter 10 |

Exercise | Class 12 Maths Chapter 10 Vector Algebra Exercise 10.1 |

Number of Questions Solved | 5 |

Contents

## NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Ex 10.1

**NCERT TEXTBOOK EXERCISES**

**Ex 10.1 Class 12 Maths Question 1.**

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

**Solution:**

A line segment of 2 cm is drawn on the right of OY making an angle of 30° with it. OP = 40 km,

scale 1cm = 20 km. Vector $\overrightarrow { OP }$ represents displacement of 40 km 30° east of north.

**Ex 10.1 Class 12 Maths 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/sec².

**Solution:**

(i) Mass-scalar

(ii) Directed distance-vector

(iii) Temperature-scalar

(iv) Rate of electricity-scalar

(v) Electric charge-vector

(vi) Acceleration-vector

**Ex 10.1 Class 12 Maths Question 3.**

Classify the following as scalar and vector quantities

(i) time period

(ii) distance

(iii) force

(iv) velocity

(v)work.

**Solution:**

Scalar Quantity: (i) time period (ii) distance (v) work.

Vector Quantity: (iii) force (iv) velocity

**Ex 10.1 Class 12 Maths Question 4.**

In a square, identify the following vectors

(i) Co-initial

(ii) Equal

(iii) collinear but not equal

**Solution:**

(i) Co initial vectors are $\overrightarrow { a } ,\overrightarrow { d }$

(ii) Equal Vectors are $\overrightarrow { b } ,\overrightarrow { d }$

(iii) Collinear but not equal vectors are $\overrightarrow { a } ,\overrightarrow { c }$

**Ex 10.1 Class 12 Maths Question 5.** Answer the following as true or false:

(i) $\overrightarrow { a } ,\overrightarrow { -a }$ 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.

## NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Exercise 10.1 PDF

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