Originally Posted by Question
I understand part(a) but struggling with part(b). Can I have help? Thanks in advance.
One approach:
1. Get the Cartesian equation of the plane H: ax + by +cz = d.
2. Get a parametric equation of the line found in (a): x = x(t), y = y(t), z = z(t).
3. Substitute x = x(t), y = y(t), z = z(t) into ax + by +cz = d and solve for t.
4. Substitute the value of t into x = x(t), y = y(t), z = z(t). These are the required coordinates of E.