A test Question:

Find the parametric equations of the line through the origin that is orthogonal to the plane 2x+4y-z=0

1 answer

the direction of a perpendicular to the given plane must be (2,4,-1)
so the vector equation must be
vector r = k (2,4,-1) + (0,0,0)
so in parametric form
x = 2k
y = 4k
z = -k