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If the position vectors of P and Q are (...

If the position vectors of P and Q are `(hati+3hatj-7hatk) and (5hati-2hatj+4hatk)`, then |PQ| is

A

`sqrt(158)`

B

`sqrt(160)`

C

`sqrt(161)`

D

`sqrt(162)`

Text Solution

Verified by Experts

The correct Answer is:
D
`PQ=(5-1)hati+(-2-3)hatj+(4+7)hatk`
`=4hati-5hatj+11hatk`
`|PQ|=sqrt(16+25+121)=sqrt(162)`
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  13. If O is origin and C is the mid - point of A (2, -1) and B ( -4, 3) . ...

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  14. If the position vectors of the points A and B are hati+3hatj-hatk and ...

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  15. The position vectors of A and B are hati-hatj+2hatk and 3hati-hatj+3ha...

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