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Question
In Figure ABCD is a regular hexagon, which vectors are:
(i) Collinear
(ii) Equal
(iii) Coinitial
(iv) Collinear but not equal.
Solution
(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
\[\vec{b} , \vec{z} ; \vec{x} , \vec{z}\]
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