calculuss helpp

Question

 Find the parametric equations for the line through the point P = (2, 4, -5) that is perpendicular to the plane −1𝑥+1𝑦−2𝑧=1.−1x+1y−2z=1.

Use "t" as your variable, t = 0 should correspond to P, and the velocity vector of the line should be the same as the standard normal vector of the plane.

x =  

y =  

z = 

Answer 1

The normal to the plane is the coefficients of the equation (-1,1,-2) or -i +j -2k in unit vector notation.

Parametric equation is just P + t(normal vector)

The x term of the line is P_x + tn_x = 2-t

and so on.