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Find the distance of the point (2,12,5) ...

Find the distance of the point (2,12,5) from the point of intersection of the lines `vec(r) = (2 hat(i) - 4 hat(j) + 2 hat(k)) + lambda (3 hat(i) + 4 hat(j) + 2 hat(k)) ` and the plane ` r * (hat(i) - 2 hat(j) + hat(k)) = 0 `

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The correct Answer is:
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