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The position vectors of A and B are 2hat...

The position vectors of A and B are `2hati-9hatj-4hatk and 6hati-3hatj+8hatk` respectively, then the magnitude of AB is

A

11

B

12

C

13

D

14

Text Solution

Verified by Experts

The correct Answer is:
D

`AB=(6-2)hati+(-3+9)hatj+(8+4)hatk`
`=4hati+6hatj+12hatk`
`|AB|=sqrt(16+25+144)=14`
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