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If a particle moves from the point A(1 ,...

If a particle moves from the point `A(1 , 2 , 3)` to the point `B( 4 , 6 ,9)`, its displacement vector be

A

`3veci+4vecj`

B

`3veci+6veck`

C

`3veci+5vecj+6veck`

D

`3veci+4vecj+6veck`

Text Solution

Verified by Experts

The correct Answer is:
D
The particle is moving from point A(1,2,3) to the point B(4,6,9)
` therefore`According to the formula of displacement vector
`D=(x_(2-X_(1))hati+ (y_(2)-y_(1)) hatj +(z_(2)-z_(1)) hatk`
where ,`x_(1)y_(1,z_(1=1,2,3`
` x_(2),y_(2),Z_(3)=4,6,9`
putting these values , in Eq .(i) We get
` d=(4-1)hati+(6-2)hatj+(9-3)hatk`
`=3hati +4hatj +6hatk`
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