Question

Describe the surface in 3 represented by the equation x + y = 5. This is the set x , z which is a vertical plane that intersects the xz-plane in the line y = 5 − x, z = 0. This is the set (x, 5 − x, z) which is a vertical plane that intersects the xy-plane in the line y = 5 − x, z = 0. This is the set (x, 5 − x, z) which is a horizontal plane that intersects the xz-plane in the line y = 5 − x, z = 0. This is the set (x, y, 5 − x − y) which is a vertical plane that intersects the xy-plane in the line y = 5 − x, z = 0. This is the set (x, 5 − x, z) which is a horizontal plane that intersects the xy-plane in the line y = 5 − x, z = 0.

Answer 1

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Answer:

(b) This is the set (x, 5 − x, z) which is a vertical plane that intersects the xy-plane in the line y = 5 − x, z = 0.

Explanation:

The equation of a line in the x-y plane will be the plane whose x- and y-values satisfy the equation, and whose z-value can be anything. In 3D, this is a plane parallel to the z-axis (a vertical plane) that intersects the x-y plane (z=0) at the line.