1.

यदि |a|=10, |b|=2 तथा a.b.=12 है तब `|axxb|` का मान क्या हैA. 12B. 16C. 20D. 24

Answer» Correct Answer - B
दिया है `|a|=10, |b|=2` तथा a.b=12
`Rightarrow |a||b| cos theta=12`
`Rightarrow 10.2. cos theta=12 `
`Rightarrow cos theta=3//5....(i)`
`Rightarrow cos theta=3//5....(i)`
`therefore sin theta=sqrt(1-cos^(2)theta)`
`=sqrt(1-9//25)=(4)/(5)`
`|axxb|=|a||b| sin theta hatn|`
`=|a||b| sin theta||hatn|`
`=10.2.1 . |(4)/(5)|`
`=20xx(4)/(5)=4xx4=16`


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