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State the condition for which the line v...

State the condition for which the line `vecr=veca+lambda vecb` is parallel to the plane `vecr. vecn=d`. Prove that the line `vecr=(hati+ hatj)+ lambda (2 hati+ hat j+4 hatk)` is parallel to the plane `vec r.(-2 hati+ hatk)=5`. Also , find the distance between the line and the plane.

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