Vector and parametric equations? A plane contains the point B(-3, 2, -4) and the line with parametric equations x = 1 + 2t, y = -t, z = -2 + 3t. Determine vector and parametric equations of the plane.

Answer 1

From the equation of the given line you can determine a second point, namely (1,0,-2)
and along with the given point (-3,2,-4) you can find a second direction vector along the plane
which would be <-4,2,-2>
You are all set to write the vector and parametric version of the plane