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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.
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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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