Vector Algebra(Ex. 10.1)

Exercise 10.1

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

Solun:-

Here has magnitude 40 km and direction is 30O east of north.

2. Classify the following measures as scalars and vectors.

(i) 10 kg ----> Scalar

(ii) 2 meters north-west ----> Vector

(iii) 40O ----> Scalar

(iv) 40 watt ----> Scalar

(v) 10-19 coulomb ----> Scalar

(vi) 20 m/s2 ----> Vector

3. Classify the following as scalars and vector quantities:

(i) time period ----> Scalar

(ii) distance ----> Scalar

(iii) force ----> Vector

(iv) velocity ----> Vector

(v) work done ----> Scalar

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

(i) Coinitial ----> and

(ii) Equal ----> and

(iii) Collinear but not equal ----> and

5. Answer the following as true or false.

(i) and are collinear.

Solun:- Given statement is true.

(ii) Two collinear vector always equal in magnitude.

Solun:- Given statement is false because according to the definition of collinear vectors, vectors that are parallel to each other are said to be collinear, irrespective of their magnitude.

(iii) Two vectors having same magnitude are collinear.

Solun:- Given statement is false because according to the definition of collinear vectors, vectors that are parallel to each other are said to be collinear, irrespective of their magnitude.

(iv) Two collinear vectors having the same magnitude are equal.

Solun:- Given statement is false because according to the definition of equal vectors, vectors having the same magnitude as well as the same direction are called equal vectors.

Download PDF of Exercise 10.1

See Also:-

Notes of Vector Algebra

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