Let \(\rm \vec a=2\hat i+5\hat j-\hat k, \vec b=2\hat i-2\hat j+2\hat k\ and \ \vec c\) be three vectors such that \(\rm (\vec c+\hat i)\times (\vec a+\vec b+\hat i)=\vec a\times (\vec c+\hat i). if \ \vec a.\vec c=-29, \) then \(\rm \vec c.(-2\hat i+\hat j+\hat k)\) is equal to:

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10
2
5
3
15
4
12

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