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Let vec(a), vec(b), vec(c ) be three vectors satisfying vec(a) xx vec(b) = 2vec(a) xx vec(c ), |vec(a)| = |vec(c )| =1, |vec(b)|=4 and |vec(b) xx vec(c )|= sqrt15. If vec(b)- 2vec(c )= lamda vec(a), find the value of lamda. |
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