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Area of rhombus is ......., where diagon...

Area of rhombus is ......., where diagonals are `a=2hat(i)-3hat(j)+5hat(k)` and `b=-hat(i)+hat(j)+hat(k)`

A

`sqrt(21.5)`

B

`sqrt(31.5)`

C

`sqrt(28.5)`

D

`sqrt(38.5)`

Text Solution

Verified by Experts

The correct Answer is:
C
Given diaglonals of a rhombus are
`a=2hati-3hatj+5hatk" and "b=-hati+hatj+hatk`
`:." "` Area of rhombus `= 1/2|axxb|`
`=1/2|-8hati-7hatj-hatk|=1/2sqrt(114)=sqrt(28.5)`
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