How Good Are You In Vectors?

Geometry Level 3

If \( \vec { a } ,\vec { b } ,\vec { c } \) are three vectors such that :

\(\left| \vec { a } \right| =\left| \vec { c } \right| =1\)

\(\left| \vec { b } \right| =4\)

\(\left| \vec { b } \times \vec { c } \right| =2\) and

\(2\vec { b } =\vec { c } +\lambda \vec { a } \) then \(\lambda \) can be :

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