Question

find the position of vector if a particle is present at (1,2,3)​

Answer 1

To find:

Position vector of a particle present at (1,2,3).

Calculation:

Let's assume that an object is located at point (a,b,c).

So, its position vector with respect to origin (0,0,0) will be :

$\therefore \: \vec{r} = (a - 0) \hat{i} + (b - 0) \hat{j} + (c - 0) \hat{k}$

$= > \: \vec{r} = a \hat{i} +b \hat{j} + c \hat{k}$

Similarly, the position vector of that object:

$\therefore \: \vec{r} = (1 - 0) \hat{i} + (2 - 0) \hat{j} + (3- 0) \hat{k}$

$= > \: \vec{r} = 1 \hat{i} + 2 \hat{j} + 3 \hat{k}$

So, final answer is:

$\boxed{ \sf\: \vec{r} = 1 \hat{i} + 2 \hat{j} + 3 \hat{k}}$