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The initail and final position vectors f...

The initail and final position vectors for a particle are respectively , `( - 3.0 m)hati + (2.0 m) hat j + (8.0 m ) hatk` and `(9.0 m)hati + (2.0 m )hatj + (- 8.0 m )hat k` . The displacement of the particle is

A

`(6.0m) hati + (4.0m) hatj + (16.0 m) hatk`

B

`(6.0m) hati`

C

`(12.0m) hati - (16.0 m)hatk`

D

`(12.0m) hati`

Text Solution

Verified by Experts

The correct Answer is:
C

Displacement vector = Final position – Initial position
`= (9 hati + 2 hatj- 8 hatk) - (-3 hati + 2hatj + 8 hatk)`
` = 12 hati - 16 hatk i.e (12.0m) hati - (16.0) hatk`
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