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

Mathematics Part-II

Book: Mathematics Part-II

Chapter: 10. Vector Algebra

Subject: Maths - Class 12^th

Q. No. 3 of Exercise 10.1

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Classify the following as scalar and vector quantities.
(i) time period (ii) distance (iii) force

(iv) velocity (v) work done

Scalars are defined as quantities that have magnitude only.

Vectors are defined as a quantity that has magnitude as well as direction.

(i) time period: It is a scalar quantity as it has magnitude only and no direction.

(ii) distance: It is a scalar quantity as it has magnitude only and no direction.

(iii) force: It is a vector quantity as it has magnitude as well as direction.

(iv) velocity: It is a vector quantity as it has magnitude as well as direction.

(v) work done: It is a scalar quantity as it has magnitude as well as direction.

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Chapter Exercises

Exercise 10.1

Exercise 10.2

Exercise 10.3

Exercise 10.4

Miscellaneous Exercise

1

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

2

Classify the following measures as scalars and vectors.
(i) 10 kg (ii) 2 meters north-west

(iii) 40° (iv) 40 watt

(v) 10^-19 coulomb (vi) 20 m/s²

3

Classify the following as scalar and vector quantities.
(i) time period (ii) distance (iii) force

(iv) velocity (v) work done

4

In Fig 10.6 (a square), identify the following vectors.
(i) Coinitial

(ii) Equal

(iii) Collinear but not equal

5

Answer the following as true or false.
(i) and 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.