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Find the number of element of power set ...

Find the number of element of power set of set B have 3 element

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The correct Answer is:
B
Let position vector of D is `xhati+yhatj+zhatk`, then AB=DC.
`-2hatj-4hatk=(7-x)hati+(7-y)hatj+(7-z)hatk`
`impliesx=7,y=9 and z=11`
Hence, position vector of D will be `7hati+9hatj+11hatk`.
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