Is the Vector Parametric Equation for Line L Perpendicular to Plane P?

[InvaznGSC]

Homework Statement

Find the vector parametric equation of the line L passing through the point p=(1,2,3) and perpendicular to the plane P having equation 2x-3y-5z=7

Homework Equations

N/A

The Attempt at a Solution

q=P+tu

(where u is the vector of the normal)

[x,y,z]=(1,2,3)+t(2,-3,-5)

x= 1+2t
y= 2-3t
z=3-5t

 

[lanedance]

looks good