Question

In Figure ABCD is a regular hexagon, which vectors are:
(i) Collinear
(ii) Equal
(iii) Coinitial
(iv) Collinear but not equal.

Answer 1

(i) Vectors having the same or parallel supports are called collinear vector.
In the given figure the collinear vectors are

\[\vec{a} , \vec{d} ; \vec{x} , \vec{z} , \vec{b} ; \vec{c} , \vec{y}\]

(ii) Vectors having the same magnitude and direction are called equal vector. In the given figure the equal vectors are

\[\vec{b,} \vec{x} ; \vec{c} , \vec{y} ; \vec{a} , \vec{d}\]

(iii) Vectors having the same initial point are called co-initial vector.
In the given figure the co-initial vectors are

\[\vec{a} , \vec{y} , \vec{z}\]

(iv) The vectors which are collinear but not equal are  

\[\vec{b} , \vec{z} ; \vec{x} , \vec{z}\]