The dot product of a vector with vectors...

The dot product of a vector with vectors `hat(i) + hat(j) - 3hat(k), hat(i) + 3hat(j) - 2hat(k)` and `2hat(i) + hat(j) + 4hat(k)` are 0, 5 and 8, respectively. Find the vector.

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The correct Answer is:

`vec(r) = hat(i) + 2hat(j) + hat(k)`

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