Question: Equation of a line (5)

My problem: Write the equation of the line (Delta) passing the point A(-2;3;4), perpendicular to the line

(l): x = -t + 1, y = 2t, z = 3t + 1

and have a distance from the point B(1;2;-4) obtain

a) maximum;

b) minimum.

Can you write for me a code? Thank you.

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