The (x, y, z) coordinates of two points A and B are given respectively as (0, 4, - 2) and (- 2, 8, - 4). The displacement vector from A to B is

Question

The $(x, y, z)$ coordinates of two points $A$ and $B$ are given respectively as (0, 4, - 2) and (- 2, 8, - 4). The displacement vector from $A$ to $B$ is

Smart Achievers · Accepted Answer

(1)

$Here, {\vec{r}}_{A} = 0 \hat{i} + 4 \hat{j} - 2 \hat{k}, {\vec{r}}_{B} = - 2 \hat{i} + 8 \hat{j} - 4 \hat{k}$

$Displacement vector from A to B is given by$

$\vec{r} = {\vec{r}}_{B} - {\vec{r}}_{A} = (- 2 \hat{i} + 8 \hat{j} - 4 \hat{k}) - (0 \hat{i} + 4 \hat{j} - 2 \hat{k}) = - 2 \hat{i} + 4 \hat{j} - 2 \hat{k}$

Solution

Q.
The $(x, y, z)$ coordinates of two points $A$ and $B$ are given respectively as (0, 4, - 2) and (- 2, 8, - 4). The displacement vector from $A$ to $B$ is

1 $- 2 \hat{i} + 4 \hat{j} - 2 \hat{k}$

2 $2 \hat{i} - 4 \hat{j} + 2 \hat{k}$

3 $2 \hat{i} + 4 \hat{j} - 2 \hat{k}$

4 $- 2 \hat{i} - 4 \hat{j} - 2 \hat{k}$

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Solution

Q. The (x, y, z) coordinates of two points A and B are given respectively as (0, 4, - 2) and (- 2, 8, - 4). The displacement vector from A to B is

1 -2i^+4j^-2k^

2 2i^-4j^+2k^

3 2i^+4j^-2k^

4 -2i^-4j^-2k^