# Lecture - 1 Chapter 10 Vector Algebra

“It’s not what you look at that matters, it’s what you see.” –Anonymous

**Topics discussed in this video:**

Physical Quantity, Scalar and Vector Quantity, Graphical representation of vectors, Algebraical representation of vectors, Parallel Vectors, Co-linear Vectors, Opposite Vectors, Equal Vectors and Position Vectors.

NCERT EXERCISE 10.1 |

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

**2.** Classify the following measures as scalars and vectors.

(i) 10 kg

(ii) 2 meters north-west

(iii) 40Â°

(iv) 40 watt

(v) 10^{-19} coulomb

(vi) 20 m/s^{2}

**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) a and â€“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.