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4

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

(i) Coinitial

(ii) Equal

(iii) Collinear but not equal

(i) **Coinitial vectors:** Two or more vectors having same initial point are called coinitial vectors.

So, in the above figure and are coinitial vectors as they have same initial point.

∴ Coinitial vectors: and

(ii) **Equal vectors:** Two or more vectors having same direction and same magnitude are called equal vectors.

So, in the above figure and are equal vectors as they have same magnitude and same direction.

∴ Equal vectors: and

(iii) **Collinear but not equal:**

∵ and are parallel vectors, so, they are collinear. But they have opposite direction, so, they are not equal.

Hence, and are collinear but not equal.

4

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.