1.

If the vectors hat(i)-3hat(j)+2hat(k), -hat(i)+2hat(j) represent the diagonals of a parallelogram, then its area will be

Answer»

`sqrt(21)`
`sqrt(21)/2`
`2sqrt(21)`
`sqrt(21)/4`

Solution :Let`a=hati-3hatj+2hatk, b=-hati+2hatj`
Now, `axxb=|{:(hati,hatj,HATK),(1,-3,2),(-1,2,0):}|=-4hati-2hatj-hatk`
`:.""` AREA of parallelogram `=1/2|axxb|=1/2sqrt(16+4+1)=sqrt(21)/2`


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