MathsJEE Main 6 Apr 2026, Shift 1·Q23·Numerical·Moderate

Vectors · Vector triple product

\vec a = \hat i + \hat j + \hat k

\vec b = \hat j - \hat k

and

\vec c

be three vectors such that

\vec a\times\vec c = \vec b

and

\vec a\cdot\vec c = 3

, then

\vec c\cdot(\vec a - 2\vec b)

is equal to .

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