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Question

In Figure, identify the following vectors. (i) Coinitial (ii) Equal (iii) Collinear but not equal

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Solution

(i)

When two or more vectors start from the same point, then they are coinitial.

Here, a and d start from same point. Thus, a and d are coinitial.

(ii)

When two or more vectors are same in magnitude and direction, then they are equal.

Here, all vectors are equal in magnitude because the given figure is square and the direction of b and d is also same. Thus, b and d are equal.

(iii)

When two or more vectors are parallel to a same line, then these vectors are collinear.

Here, b and d are parallel but they are equal vector from part (ii). Vectors a and c are parallel but they are not equal.

Thus, a and c are collinear but not equal.


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