Page 1 Summary:
This page covers solutions to problems involving points and planes in 3D space. It begins with finding the coordinates of point P4,1,4,1,5 on a plane given by the equation x+y+2z=6. The solution involves setting up and solving a system of equations. The page also includes calculations of distances between points using the distance formula in three dimensions.
Example: For point P4,1,4,1,5, the solution shows how to set up the equation 14+t + 14+t + 25+2t = 6 and solve for t to find the coordinates.
Vocabulary: The distance formula in 3D space is given as |PD| = √x2−x1² + y2−y1² + z2−z1².