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Find the area oif the parallelogram dete...

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

A

42

B

56

C

38

D

74

Text Solution

Verified by Experts

(a) `AxxB=|(hati, hatj, hatk),(2, 1, -3),(0, 12, -2)|`
`=hati(-2+36)-hatj(-4-0)+hatk(24-0)`
`=34hati+4hatj+24hatk`
`|AxxB|=sqrt(1156+16+576)=4181~~42`
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