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Obtain the volume of the parallelopiped ...

Obtain the volume of the parallelopiped whose sides are vectors `vec a= 2 hat i - 3 hat j + 4 hat k`, `vec b= hat i +2 hat j - hat k`, `vec c= 3 hat i - hat j +2 hat k`. Also find the vector `(vec a×vec b)×vec c`.

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Find the scalar projection of the vector vec a= 3 hat i+6 hat j+9 hat k on vec b= 2 hat i+2 hat j-hat k .

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