- Two or more vectors having the same initial point are called coinitial vector.
- Two or more vectors are said to be collinear,if they are parallel to the same line,irrespective of their magnitudes and directions.
- Two vectors $\overrightarrow{a}$ and $\overrightarrow{b}$ are said to be equal if they have the same magnitude and either same or opposite direction regardless of the positions of their initial points

Step 1:

In the above figure:we are asked to find the coinitial vectors,equal vectors and collinear but not equal vectors.

Consider the vectors $\overrightarrow{a}$ and $\overrightarrow{d}$.They have the same initial point A.

Hence $\overrightarrow{a}$ and $\overrightarrow{d}$ are coinitial vectors.

Step 2:

Consider the vectors $\overrightarrow{b}$ and $\overrightarrow{d}$.Both are having same magnitude but they are opposite in direction.

Hence $\overrightarrow{b}$ and $\overrightarrow{d}$ are equal vectors.

Step 3:

Consider the vectors $\overrightarrow{a}$ and $\overrightarrow{c}$.They are parallel to each other and they are opposite in direction.

Hence $\overrightarrow{a}$ and $\overrightarrow{c}$ are collinear vectors.

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