Answer :

Given line: 

Here we have the cartesian equation of a line,


And, the cartesian equation of a plane,


x – y + z – 5 = 0.


Let Q(α, β, γ) be the point of intersection of line and plane which will satisfy both equation.


(let)



also




So, putting the value of , we get,





And,




Therefore, we have,

Q = (2, – 1, 2)


l(PQ) =





= 13 units.

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