Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (1, 0, 2) and perpendicular to the plane x 4y z

Answer :

Answer:

The answer is "[tex]x=1+t\\y=0+4t\\z=2+1[/tex]"

Step-by-step explanation:

A(1,0,2) perpendicular to x+4y+z=2 plane  

The vector of direction is v[1,4,1].  

The [tex]eq^n[/tex]and parametric  [tex]eq^n[/tex] formulas also for line

[tex]r(t)=A+tv\\ \\r(t)= (1,0,2)+t(1,4,1)[/tex]

[tex]x=1+t\\y=0+4t\\z=2+1[/tex]

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