NAME: DATE: Unit 6 Mini Assignment Lines and Planes 1. Create a sketch of the following plane. Be sure to include any labels for axis intercepts. 6z+3y3z215 =0 2. Determine how the two lines would interact with each other (parallel and distinct, coincident, skewed, etc...). You must show algebraic proof in your reasoning. 1. f there is a point of intersection, find the POI. 11. If skewed, find the shortest distance between them. L1: F = (1, 2, 3) + s(2, -1, 3) L2 : F = (1, -1,2) + t(3, -2, 1)NAME: DATE: Determine how the line would interact with the plane (parallel and distinct, etc...). You must show algebraic proof. If there is a point of intersection, find the point. Determine how the two planes would interact (parallel and distinct, etc...). You must show algebraic proof. If there is a line of intersection, find the vector equation of that line. my: 2x 2y 452 +10 = 0 My 2x +y 4z 4+7 =0