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Let vec a , vec b and vec c be three no...

Let ` vec a , vec b` and `vec c` be three non-zero vectors such that ` vec a+ vec b+ vec c=0` and `lambda vec bxx vec a+ vec bxx vec c+ vec cxx vec a=0,` then find the value of `lambda`

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Clearly, `veca , vecb and vecc` respesent the sides of a tirangle,
`Rightarrow veca xx vecb =vecc xx veca `
`or veca xxvecb + vecc + vecb xx vecc xx veca = 3veca xx vecb`
`or 2vecb xx veca +vecb xx vecc + vecc xx veca = 0 Rightarrow lambda=2`
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