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Given three vectors ` vec a , vec b ,a n d vec c` two of which are non-collinear. Further if `( vec a+ vec b)` is collinear with ` vec c ,( vec b+ vec c)` is collinear with ` vec a ,| vec a|=| vec b|=| vec c|=sqrt(2)dot` Find the value of ` vec a. vec b+ vec b. vec c+ vec c. vec a` a. `3` b. `-3` c. `0` d. cannot be evaluated

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