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If |a|=5, |b|6 and a.b=-25, then |axxb| ...

If `|a|=5, |b|6 and a.b=-25`, then `|axxb|` is equal to

A

25

B

`6sqrt(11)`

C

`11sqrt5`

D

`5sqrt(11)`

Text Solution

Verified by Experts

The correct Answer is:
D
Now ,` |axxb|^2+(a.b)^2=|a|^2|b|^2`
`rArr |axxb|^2=25xx36-(25)^2`
`=25(36-25)=25xx11`
`rArr |axxb|=5sqrt(11)`
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