What are collinear vectors, Give one example.
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Vectors of the same length and direction are called equivalent. ... Definition 2 Two vectors are collinear, if they lie on the same line or parallel lines. In the figure above all vectors but f are collinear to each other. Definition 3 Two collinear vectors are called co-directed if they have the same direction.
Example 1. Collinear vectors are two or more vectors parallel to the same line irrespective of their magnitudes and direction. Hence, in the given figure, the following vectors are collinear: \vec{a} , \vec{c} , and \vec{d} . Equal vectors have the same magnitudes and direction regardless of their initial points.
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Two vectors are collinear if they have the same direction or are parallel or anti-parallel. They can be expressed in the form a= k b where a and b are vectors and ' k ' is a scalar quantity.
A Zero vector or a null vector is one in which these two points coincide. It is denoted as 0⃗ . Since the magnitude is zero, we cannot assign a direction to these vectors. Alternatively, zero vectors can have any direction. Some examples of zero vectors are AA→, BB→, etc.
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