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If vec a = hat i + hat j + hat k, vec b ...

If `vec a = hat i + hat j + hat k`, `vec b = 2 hat i - hat j + 3 hat k` and `vec c = hat i - 2 hat j + hat k`, find a unit vector parallel to the vector `2 veca - vec b + 3 vec c`

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The correct Answer is:
` = ((3)/(sqrt22))hat i - ((3)/(sqrt 22)) hat j + ((2)/(sqrt 22)) hat k`
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