i) a horizontal plane, (ii) the plane consisting of points satisfying the condition that x = 0 (aka the back wall), (iii) the plane z = 0 and the plane x = 0 on the same axes, and sketch and label the intersection of these two planes,

Handwritten Homework Assignments - Exploration for MATH 1554
For each assignment, complete the questions by hand on a separate sheet of paper. Write neatly and use complete sentences where necessary. You must submit original work, but I’m okay with you all working together to share ideas. Handwritten homework assignments are due on Fridays in Gradescope, and no late submissions are accepted.
Week 1: Practice sketching in 3D. In R3, using the coordinates x,y,z, sketch the following making a new sketch for each part (a)-(d):
(i) a horizontal plane,
(ii) the plane consisting of points satisfying the condition that x = 0 (aka the back wall),
(iii) the plane z = 0 and the plane x = 0 on the same axes, and sketch and label the intersection of these two planes,
(iv) a line passing through the origin which is not contained in any of the three coordi- nate planes, include and label at least three points on the line,
(v) the plane defined by x − y = 0, include and label at least four points in this plane no three of which are colinear.
In each case, you are practicing drawing an accurate, representative graph of the plane of points which satisfy the given equation in the variables x, y, and z.pls type solution