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Let a=3hati + 2hatj + xhatk and b = hati...

Let `a=3hati + 2hatj + xhatk` and `b = hati - hatj + hatk`, for some real x. Then `|a+b| = r` is possible if.

A

`0 lt r le sqrt(3)/2`

B

`sqrt(3)/2 lt r le 3sqrt(3/2)`

C

`3sqrt(3/2) lt r le 5sqrt(3/2)`

D

`r ge sqrt(17)`

Text Solution

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The correct Answer is:
D
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