In the given figure (a square),identify the following vectors:
Equal vectors.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) Two vectors are said to be equal if they have the same magnitude and the same direction.
In the given square,vectors $\overrightarrow{a}$ and $\overrightarrow{c}$ have the same magnitude (side length of the square) but opposite directions.
Vectors $\overrightarrow{d}$ and $\overrightarrow{b}$ have the same magnitude (side length of the square) but opposite directions.
Looking at the directions of the vectors:
- $\overrightarrow{a}$ points to the right.
- $\overrightarrow{c}$ points to the left.
- $\overrightarrow{d}$ points downwards.
- $\overrightarrow{b}$ points downwards.
Therefore,vectors $\overrightarrow{d}$ and $\overrightarrow{b}$ are equal because they have the same magnitude and the same direction.

Explore More

Similar Questions

If $\overrightarrow{a}$ and $\overrightarrow{b}$ are unit vectors and $|\overrightarrow{a}+\overrightarrow{b}|=1$,then $|\overrightarrow{a}-\overrightarrow{b}|$ is equal to

Let $\vec{a}=\hat{i}+2 \hat{j}+3 \hat{k}$,$\vec{b}=2 \hat{i}+3 \hat{j}-5 \hat{k}$ and $\vec{c}=3 \hat{i}-\hat{j}+\lambda \hat{k}$ be three vectors. Let $\vec{r}$ be a unit vector along $\vec{b}+\vec{c}$. If $\vec{r} \cdot \vec{a}=3$,then $3 \lambda$ is equal to :

If $\vec{a}=(p, -2, 5)$ and $\vec{b}=(1, q, -3)$ are collinear vectors,then:

If $\overline{a} = m \overline{b} + n \overline{c}$,where $\overline{a} = 4 \hat{i} + 13 \hat{j} - 18 \hat{k}$,$\overline{b} = \hat{i} - 2 \hat{j} + 3 \hat{k}$,and $\overline{c} = 2 \hat{i} + 3 \hat{j} - 4 \hat{k}$,then $m + n =$

If $O$ is the circumcentre and $O'$ is the orthocentre of the triangle $ABC$,then $\overrightarrow{O'A} + \overrightarrow{O'B} + \overrightarrow{O'C} = $

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo