Question

(1) In the given figure, identify the following vectors:
Coinitial
(2) In the given figure, identify the following vectors:
Equal


(3) In the given figure, identify the following vectors:
collinear but not equal.

Answer 1

(1) Two or more vectors are said to be coinitial if they start from the same point.

Here, $\overrightarrow{a}$ and $\overrightarrow{d}$ start from the same point P.

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

(2) Two or more vectors are said to be equal if they have the

(a) same magnitude.

(b) same direction.
Since, the given figure is a square, magnitudes of $\overrightarrow{a},\overrightarrow{b},\overrightarrow{c}$ and $\overrightarrow{d}$ are equal.
And the direction of $\overrightarrow{b}$ is same as direction of $\overrightarrow{d}$.
Therefore, $\overrightarrow{b}$ and $\overrightarrow{d}$ are equal vectors.

(3)(1) Two of more vectors are said to be collinear if they are parallel to the same line i.e., they are either parallel or anti parallel.

(2) Two or more vectors are said to be equal if they have the

(a) same magnitude.

(b) same direction.

Since, the vectors $\overrightarrow{a}$ and $\overrightarrow{c}$ are anti parallel; hence they are collinear.
But $\overrightarrow{a}$ and $\overrightarrow{c}$, are opposite in direction, they are not equal.
Therefore, $\overrightarrow{a}$ and $\overrightarrow{c}$ are collinear but not equal.