Vector of length of 3 unit which is perp...

Vector of length of 3 unit which is perpendicular to `vec i + vec j + vec k` and lies in the plane of `vec i + vec j + vec k` and `2vec i - 3vec j` ,is (1) `3/sqrt6(vec i - 2vec j + vec k)` (2) `3/sqrt6(2vec i - vec j - vec k)` (3) `3/sqrt114(8vec i - 7vec j - vec k)` (4) `3/sqrt114(-7vec i + 8vec j - vec k)`

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