Hi this is the problem

A line x=y=z is projected along a vector

(3,2,1) on the plane : x + z = 0

Determine the equation of the projection

Ok normally a line would be given like this in a basic question:

(x,y,z) = (2+3t,2,6t) for example

However a line with the expression x=y=z

Seems confusing to me

But let me give thoughts on how to solve it

Then maybe someone can help me out

Attempt:

1. To get the projection I will call it

Hum (l)p we Need to know 2 things:

1. A direction vector vp

2. And a point on (l)p

2. A vector is given as : (3,2,1)

A point can be a point of intersection

I will call it S

I will get it by putting the equation of a line

Into the equation of the plane

The problem here is x=y=z

I don't know if I think correctly regarding

This problem

Could someone solve it for me?