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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.
Figure

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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
a, d ; x, z, b ; c, y

(ii) Vectors having the same magnitude and direction are called equal vector.
In the given figure the equal vectors are
b, x ; c, y ; a, d

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

(iv) The vectors which are collinear but not equal are b, z ; x, z

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