1.

If a=(hati+hatj+hatk), a.b=1 and axxb=hatj-hatk, then b is

Answer»

`hati-HATJ+hatk`
`2hatj-hatk`
`hati`
`2hati`

Solution :Giventhat` a= hati+ hatj+ hatk , a.b =1`
`andaxxb= hatj= hatk`
As , we know ` a XX (AXXB)=(a.b)a-(a.a)b`
`IMPLIES ( hati + hatj + hatk ) xx(hatj - hatk ) = ( hati+ hatj + hatk)-3b`
`[ :'a.a =1+1+1=3]`
`implies- 2 hati+ hatj+ hatk= hati+ hatj + hatk -3b`
`implies3b=3 hati`
`implies b= hati`


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