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Let vec a= hat i+4 hat j+2 hat k ,\ \ ...

Let ` vec a= hat i+4 hat j+2 hat k ,\ \ vec b=3 hat i-\ 2 hat j+7 hat k` and ` vec c=2 hat i-\ hat j+4 hat k` . Find a vector ` vec d` which is perpendicular to both ` vec a` and ` vec b` and ` vec c` . ` vec d` =18.

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