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Consider the following statements 1. ...

Consider the following statements
1. For any three vectors `vec(a), vec(b), vec(c)`,
`vec(a). {(vec(a)+vec(c))xx(vec(a)+vec(b)+vec(c))}=0`
2. For any three coplanar unit vectors
`vec(d), vec(e), vec(f), (vec(d)xxvec(e)).vec(f)=1`
Which of the statements given above is/are correct?

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