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Find the vector equation of the line pas...

Find the vector equation of the line passing through the point (1,2,3) and parallel to the planes ` vec rdot( hat i- hat j+2 hat k)=5` and ` vec rdot(3 hat i+ hat j+ hat k)=6.`

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The correct Answer is:
`vec(r) = (hat(i) + 2 hat(j) + 3 hat(k)) + lambda (3 hat(i) - 5 hat(j) - 4hat(k))`.
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