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A unit vector vec(a) is perpendicualr to...

A unit vector `vec(a)` is perpendicualr to the vectors `hati+2hatj-hatk` and `3hati-hatj+hatk` then find the components of `vec(a)`.

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The correct Answer is:
`(3)/(sqrt(83))I,(-5)/(sqrt(83))hatj,(-7)/(sqrt(83))hatk` OR `(-3)/(sqrt(83))hati,(5)/(sqrt(83))hatj,(7)/(sqrt(83))hatk`
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