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Acceleration in 2D

The x,y,z coo...

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

^i

+4

^j

-2

^k

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B

2

^i

-4

^j

+2

^k

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C

2

^i

+4

^j

-2

^k

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D

-2

^i

-4

^j

-2

^k

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Solution

The correct option is C 2 $^i$ +4 $^j$ -2 $^k$
Here, ${\to r}_{A} = 0^i + 4^j - 2^k, {\to r}_{B} = - 2^i + 8^j - 4^k$ .

Displacement vector from A to B is given by

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

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