\(\vec a\) and \(\vec b\) are non-zero non-collinear vectors such that \(|\vec a| = 2, \vec a.\vec b = 1\) and the angle between \(\vec a\) and \(\vec b\) is \(\frac \pi 3\). If \(\vec r\) is any vector satisfying \(\vec r.\vec a = 2,\;​​\vec r.\vec b = 8,\;(\vec r + 2\vec a - 10\vec b).(\vec a \times \vec b) = 6\) and \(\vec r + 2\vec a - 10 \vec b = λ(\vec a \times \vec b),\) then λ =

• A. \(\frac 1 2\)
• B. 2
• C. \(\frac 4 {\sqrt 3}\)
• D. 3