Find the direction cosines of the result...

Find the direction cosines of the resultant of the vectors `(hati+hatj+hatk),(-hati+hatj+hatk),(hati-hatj+hatk) and (hati+hatj-hatk)`.

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The correct Answer is:

`((1)/(sqrt(3)),(1)/(sqrt(3)),(1)/(sqrt(3)))`

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