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Find the volume of the parallelepiped ...

Find the volume of the parallelepiped whose coterminous edges are represented by the vector: ` 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`

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To find the volume of the parallelepiped formed by the vectors \(\vec{a}\), \(\vec{b}\), and \(\vec{c}\), we will use the scalar triple product, which can be calculated using the determinant of a matrix formed by these vectors. ### Step 1: Write down the vectors The given vectors are: \[ \vec{a} = 2\hat{i} + 3\hat{j} + 4\hat{k} \] \[ ...
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Find the volume of the parallelepiped whose edges are represented by the vectors vec(a)=(2hat(i)-3hat(j)+4hat(k)), vec(b)=(hat(i)+2hat(j)-hat(k)) and vec(c)=(3hat(i)-hat(j)+2hat(k)) .

Find vec a.( vec bxx vec c)\ if\ vec a=2 hat i+ hat j+3 hat k ,\ vec b=- hat i+2 hat j+ hat k\ a n d\ vec c=3 hat i+ hat j+2 hat kdot

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