Question

Describe the given set with a single equation or with a pair of equations. The plane through the point (7 comma 6 comma negative 3 )(7,6,−3) parallel to___________.a. the ​xy-planeb. the yz​-planec. the​ xz-plane

Answer 1

(a) Along the xy-plane,

7x + 6y = 0

(b) Along the yz-plan,

2y - 3z = 0

(c) Along the xz-plane,

7x - 3z = 0

Explanation:

To describe the given set.

Given the plane (7, 6, -3),

We have the equation as

7x + 6y - 3z = 0

(a) Along the xy-plane, z = 0, and we have

7x + 6y = 0

(b) Along the yz-plan, x = 0, and we have

6y - 3z = 0

Or

2y - 3z = 0

(c) Along the xz-plane, y = 0, and we have

7x - 3z = 0