Question

find set of parametric equations for the line which passes through the point (3,4,7) that is perpendicular to the line with parametric equations x=1+t, y=3-t, and z=2+3t

Answer 1

x=1+t, y=3-t, and z=2+3t

{1,-1,3}.{a,b,c}=0
a-b+3c=0

{2,-1,-1}
x=3+2t
y=4-t
z=7-t

Answer 2

oh, set of ...
a=b-3c
{b-3c,b,c}

x=3+(b-3c)t
y=4+bt
z=7+ct

Answer 3

thank you so much