14) Determine the distance between the parallel planes: 6z = 4y – 2x; and 9z = 1 – 3x + 6y.

Q: 7. a) Find the equation of the plane passes through the point P(1,2,-1), perpendicular to…

A: We have to solve given problems:

Q: Can two horizontal planes intersect?

A: Explanation: If two planes are horizontal, it means both are parallel to the x-axis.

Q: :Find the equation of the plane through (-1 6, 2) and perpendi cular to the jain of (1, 2, 3) and…

A:

Q: The planes x - 2y + 32 - 3 =0 and 3x + y - z + 5 =0 are perpendicular. Select one: True False

A:

Q: Determine the line of intersection between the following planes 12. 5x+2y-7= 9 and -2x+8y +9= = 3.

A: Given: The planes are 5x+2y-7z=9 and -2x+8y+9z=3 To find the line of intersection of the given…

Q: Find the equation of the plane parallel to the line r = 2i + t(−4i + 3j + 8k) and containing the…

A:

Q: Find the intercepts of the plane 4x+y+10z=40 . Write your answers as points (a,b,c) where a,b and c…

A: Given equation of the plane is 4x+y+10z=40. We have to find different intercepts.

Q: a) Find an equation of the sphere with center (1.-3,-5) and tangent to xz-plane.

A:

Q: 4) Find line of intersection for 2 planes.  2x-3y+z=5 -x+2y+3z=2

A: We will solve the problem

Q: 2) Find an equation of the plane that contains all points that are equidistant from the points…

A:

Q: he intercepts of the plane given by

A: Intercepts of the plane are (3,5,3).

Q:

A: Given problem:- Find the distance from the plane to the origin. The plane has A(1,1,0) B (-1,0,1)…

Q: How can we recognize if the two planes were parallel or not

A: Consider the vector equation of the two given planes as, r→·n1→=d1r→·n2→=d2 Here, n1→ and n2→ are…