Question:

Given the planes P₁: 2xy + 5z = 8 and P₂: x-y + 2z = 4, and

Last updated: 7/17/2022

Given the planes P₁: 2xy + 5z = 8 and P₂: x-y + 2z = 4, and

Given the planes P₁: 2xy + 5z = 8 and P₂: x-y + 2z = 4, and given the point A(5, -3,2). (a) Find the cosine of the angle between the planes P₁ and P₂. (b) Find the point on the plane P₁ closest to A. (c) Find an equation for the line containing point A that is parallel to both P₁ and P₂.