In the given figure (a square),identify the following vectors:
Collinear but not equal
Collinear but not equal
(N/A) Two vectors are said to be collinear if they are parallel to the same line,irrespective of their magnitudes and directions.
In the given square,vectors $\vec{a}$ and $\vec{c}$ are parallel to each other but have opposite directions. Therefore,they are collinear.
However,they are not equal because equal vectors must have the same magnitude and the same direction.
Thus,the vectors that are collinear but not equal are $\vec{a}$ and $\vec{c}$.
In the given square,vectors $\vec{a}$ and $\vec{c}$ are parallel to each other but have opposite directions. Therefore,they are collinear.
However,they are not equal because equal vectors must have the same magnitude and the same direction.
Thus,the vectors that are collinear but not equal are $\vec{a}$ and $\vec{c}$.
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DifficultJEE MAIN 2016
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