Answer:
The parametric equations for the line.x(t)=
y(t)=
z(t)=
is
[tex]\= r (t) = \left \{ {{x(t)= 4-3t} \atop {y(t)= -5+t}} \atop {z(t)=3-t}} \right \}[/tex]
Step-by-step explanation:
From the question we are told that
the given equation is
[tex]\= r(t) = (4-3t) + (-5 + t) + (3-t)[/tex]
This given equation can be represented as
[tex]\= r (t) = [4 -3t , -5+t,3-t][/tex]
Generally this equation can be represented in terms of the parametric equations as follows
[tex]\= r (t) = \left \{ {{x(t)= 4-3t} \atop {y(t)= -5+t}} \atop {z(t)=3-t}} \right \}[/tex]
This above equation is obtained by assigning each component of r(t) to each line
