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If the dot products of a vector with vec...

If the dot products of a vector with vectors `3hat(i) - 5hat(k), 2hat(i) + 7hat(j)` and `hat(i) + hat(j) + hat(k)` are respectively -1, 6 and 5, then find the vector.

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The correct Answer is:
`vec(r) = 3hat(i) + 2hat(k)`
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