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 (A) -2 hati+4 hatj-2 hatk (B) 2 hati-4 hatj+2 hatk (C) 2 hati+4 hatj-2 hatk (D) -2 hati-4 hatj-2 hatk

Tardigrade Admin · Accepted Answer

Here, vecrA=0 hati+4 hatj-2 hatk, vecrB=-2 hati+8 hatj-4 hatk Displacement vector from A to B is given by vecr= vecrB- vecrA =(-2 hati+8 hatj-4 hatk)-(0 hati+4 hatj-2 hatk) =-2 hati+4 hatj-2 hatk

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

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

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

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

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

Here, $r_{A} = 0 \hat{i} + 4 \hat{j} - 2 \hat{k}$ ,
$r_{B} = - 2 \hat{i} + 8 \hat{j} - 4 \hat{k}$
Displacement vector from $A$ to $B$ is given by
$r = r_{B} - r_{A}$
$= (- 2 \hat{i} + 8 \hat{j} - 4 \hat{k}) - (0 \hat{i} + 4 \hat{j} - 2 \hat{k})$
$= - 2 \hat{i} + 4 \hat{j} - 2 \hat{k}$

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

−2i^+4j^​−2k^

2i^−4j^​+2k^

2i^+4j^​−2k^

−2i^−4j^​−2k^