Find the distance of the point `(-1,-5,-10)` from the point of intersection of the line `vec(r) = 2hat(i)- hat(j) +2

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Q 2627167081.     Find the distance of the point `(-1,-5,-10)` from
the point of intersection of the line

`vec(r) = 2hat(i)- hat(j) +2 hat(k) + lambda (3 hat(i) + 4 hat(j) +2 hat(k))` and the plane

`vec(r) * (hat(i) - hat(j) + hat(k)) =5`.

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Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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