Find the equation of the plane that passes through the point P = (1, -5, 2) that has normal n = (-4, 1, 2). Write your answer in the general form. O x-5y+2z=-5 O -4x+y+2Z3D10 O -4x+y+2z=-5 O x-5y+2z3-8

Q: b) Use the idea in part (a) to determine an explicit one-to-one correspondence between zt and the…

A: as you asked only the solution for (b) , the solution of the part (b) is given below...

Q: Find the linear equation of the plane through the point (2,3,6) and parallel to the plane…

A:

Q: Find the coordinates of ABC after a dilation of k = -4

A: The given question can be solved as shown in step 2.

Q: Find an equation of a plane containing the three points (-3, -1, 1), (-4, -6, 0), (-4, -5, 2) in…

A: This question is related to equation of plane, We will solve it using given information.

Q: 5. Find symmetric equations of the line that passes through A(4, -7, -2) and B(-3, 8, 6).

A:

Q: Find the equation of the plane that passes through the point (10, -8, 5) and contains the line y-2…

A:

Q: ,1), (2, 2), (1, 3), (4, 1), (3, 2), (2, 3), (1,4), (5, 1), .... Show that this constitutes a proof…

A: We will answer the first question only as we don't answer multiple questions at a time. Please…

Q: Find the equation of the plane containing the points (1,1,−2),(1,2,1),(−1,2,−2)

A: The equation of plane containing the points 1,1,-2, 1,2,1, and -1,2,-2 is to be evaluated.

Q: - 1 y - 1 -3 23. (2, – 1, – 3); z- 2 %3D 3 2 2

A: The general equation of plane is ax+by+cz+d=0. To find the equation of plane which passes through…

Q: 2. Write the symmetric equation of a line through the points (0, 2,8) and (3,-3, 4). Find where this…

A:

Q: Find the equation of the plane through (1, 0, 1), (−1, 2, 2) and (0, 0, 2).

A:

Q: Find a parallel line that passes through the given p (3, 4), y = 2x - 7 O y = 2x +2 O y= 1/2x + 2 O…

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.