Perpendicular lines

Points A(1,2), B(4,-2) and C(3,-2) are given. Find the parametric equations of the line that:

a) It passes through point C and is parallel to the line AB,
b) It passes through point C and is perpendicular to line AB.

Correct answer:

p1 = 1
p2 = 1

Step-by-step explanation:

A(1,2), B(4,2) ; C ( 3,2) v = AB =(41,22) = (3,4) n =  AB = (4,3) n . v = 0  3 (4) +(4) (3)=0  p1: x = 3  3t y = 2 4t  p1=1
p1: x = 3  4t y = 2 3t  p2=1

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