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If vec(x) and vec(y) be two non - zer...

If `vec(x) ` and `vec(y)` be two non - zero vectors such that `|vec(x) + vec(y) | = |vec(x)| ` and `2vec(x) + lambda vec(y) ` is perpendicular to `vec(y)` then the value of `lambda ` is _______ .

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