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Find the area of the parallelogram deter...

Find the area of the parallelogram determined `A=2hati+hatj-3hatk` and `B=12hatj-2hatk`

A

43

B

56

C

38

D

74

Text Solution

Verified by Experts

The correct Answer is:
A
(a) Aera of parallelogram` =|AxxB|`
`AxxB=|underset(0" "12" "-2)overset(hati" "hatj" "hatk)(2" "1""-3)|`
`=hati(-2+36 )-hatj(-4)+hatk(24)`
`=34hati+4hatj+24hatk`
`|AxxB|=sqrt((34)^(2)+(4)^(2)+(24)^(2))=41.8~~43`
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