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Let vec v1= hat i+ hat j+ hat k & vec v2...

Let `vec v_1= hat i+ hat j+ hat k` & `vec v_2=a hat i+b hat j+c hat k` be two vectors, where `a ,b ,c` belong to the set `{-2,-1,0,1,2}` . Then find the number of non-zero vectors ` vec v_2` for which ` vec v_1`.`vec v_2=0`

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