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If V is the volume of the parallelepiped...

If V is the volume of the parallelepiped having three coterminous edges, as `vec(a),vec(b)andvec(c),` then the volume of the parallelepiped having three coterminous edges as `alpha=(vec(a).vec(a))vec(a)+(vec(a).vec(b))vec(b)+(vec(a).vec(c))vec(c)`
`beta=(vec(a).vec(b))vec(a)+(vec(b).vec(b))vec(b)+(vec(b).vec(c))vec(c)`
`gamma=(vec(a).vec(c))vec(a)+(vec(b).vec(c))vec(b)+(vec(c).vec(c))vec(c)` is

A

`V^(3)`

B

3V

C

`V^(2)`

D

2V

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The correct Answer is:
A
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