9) Find an equation of the plane whose points are equidistance from the point (2, -1,1) to the point (3,1,5).

Q: Find the distance from the point (3, 2, 5) to the plane whose general equation is 2x + 3y - z = 0.

A: we have to find the distance from the point (3,2,5) to the plane whose general equation is 2x+3y-z=0…

Q: 4] Find the equation of the plane that contains the point (a, 0, 0), (0, b, 0) and (0, 0, c).

A:

Q: Give an equation of the plane: (a) that contains the point (−2, 1, −3) and perpendicular to a line…

A: The plane is that  surface in which if any two pint are taken and the line joining those point lies…

Q: Find an equation of the plane determined by the points P(1,2,3), Q(2,0, 1), and R(0, –-1,1).

A:

Q: 9) Find an equation of the plane whose points are equidistance from the point (2,-1,1) to the point…

A:

Q: 8. Determine the Cartesian equation of the plane that contains the line 7=(2, 3. 2) + 1, 1.4), te R.…

A: According to guidelines we solve one question.thanku

Q: write down the equation of the plane. The plane containing the point (1,-5,8) and orthogonal to the…

A:

Q: Find an equation of the plane. The plane that passes through the point (1, -1, 1) and contains the…

A:

Q: Find an equation (in point - nomal form) of the plane containing the point (1.-3,5) and the line…

A: Given:

Q: Determine the general equation of the plane containing the point (1, 2, –1) and the line

A: The given equation of the line- 1-x3=y+23=z-3 It can also be written as follows- x-1-3=y+23=z-31…

Q: 3) Find an equation of the plane whose points are equidistance from the point (2, - 1,1) to the…

A: As per bartleby guideline for more than one question asked only first is to be answered please…

Q: Find the distance between the point (-1, 1,-1) and the plane 3x - 5y + 2z = 12

A:

Q: find the distance between point (-1,1,3) and the plane 5x-5y+3z=25

A:

Q: Find an equation of the plane consisting of all points that are equidistant from (1, 0, -2) and (3,…

A: Let's assume the coordinates of all the points which are equidistant from a points (1,0,-2) and…

Q: Find an equation of the plane consisting of all points that are equidistant from (0, -5, 2) and (-5,…

A:

Q: Find the point-normal form equation of the plane containing the point (1, -3, 5) and the line with…

A: Solution: P(1 , -3 , 5) (2 - x ) = (y+1)/2 = -z/3 = t

Q: Give the general equation of a plane which has point (1,2, -1) together with line with symmetric…

A:

Q: Find an equation of the plane whose points are equidistant from (6, -5, 3) and (7,5, 5). 13x + 8z –…

A:

Q: Find an equation of the plane consisting of all points that are equidistant from (2, 4, 2) and (-2,…

A:

Q: Find a plane through the points P1(1, 2, 3), P2(3, 2, 1) and perpendicular to the plane 4x - y + 2z…

A: The given points and the plane are,

Q: Find the general form of the equation of the plane with the given characteristics. Passes through…

A:

Q: Find an equation of the plane that is parallel to the y-z plane and that passes through the point…

A: NOTE: Refresh your page if you can't see any equations. . the equation of any plane parallel to the…

Q: 4- Find an equation of the plane that passes through the given points (-2, 1, 1), (0, 2, 3), and (1,…

A:

Q: Find the equation of a plane consisting of all points that are equidistant from (5,5,-1) and…

A:

Q: Which of the points A(-4, 0, -1). B(3, 1, -1), and C(2, 4, 6) is closest to the yz-plane? Which…

A:

Q: Find an equation for the plane consisting of all points that are equidistant from the points (1, 0,…

A:

Q: 2. Obtain an equation for a plane 7 that includes straight line(2"--5) and point(-2,1,1).

A:

Q: Find a full equation of the plane consisting of all points that are equidistant from (0, 1, -1) and…

A: Given two points,  (0, 1, -1) and (-4, 5, -1)  To find the equation of the plane which is…

Q: Find an equation for the plane consisting of all points that are equidistant from the points (-6, 3,…

A:

Q: Find the distance between (1,-2, - 1)and the plane through the points (1, 2, 3)and (3 , 2, 1)and…

A: Given information: The plane passes through the points (1, 2, 3) and (3 , 2, 1) and perpendicular to…

Q: Find the equation of the plane containing the points (0, 1, 3), (2, 2, 2) and (3, 2, 1)

A: Given: points (0,1,3), (2,2,2), (3,2,1) Find: equation of the plane containing given points

Q: Find an equation ( in point - nomal form) of the plane containing the point (1.-3, 5) and the line…

A:

Q: 4. Find the equation and sketch the graph of a plane that is parallel to the yz-coordinate plane and…

A: We know that equation of plane parallel to yz-coordinate plane is given by: x=k where k is some…

Q: Determine the distance between the point (-1, 2, 1) and the plane 2x +14y -5z = 7.

A: The distance between a point (x1, y1, z1) and a plane Ax+By+Cz=D is given by…

Q: Give an equation of the plane: (a) (2 points) that contains the point (-2, 1, –3) and perpendicular…

A: GIVEN the plane that contains the points (-2,1,-3) and perpendicular to a line which is passing…

Q: How to find an equation of a plane through a specific point such as (3,0,3)?

A: There can be infinitely many planes passing through one point and hence you can not find an equation…

Q: Write the equation of the plane passing through point (3, 8, 3) that is parallel to the xz-plane.. X…

A:

Q: 4. Determine the equation of the plane passing through the point (1, -4, 3) and parallel to the…

A: We have to find an equation of the plane passing through the point (1, -4, 3) and parallel to the…

Q: 4] Find the equation of the plane that contains the point (a, 0, 0), (0, b, 0) and (0,0, c).

A: As per our company guidelines we are supposed to answer only one question kindly post other parts in…

Q: 2. Obtain an equation for a plane a that includes straight line(2--5) and 1: point(-2,1,1)

A:

Q: Find an equation of the plane that is parallel to the plane x + 2y – 7z + 15 = 0 and contains the…

A: A detailed solution is given below.

Q: Find the points at which the line that passes through (–6,6,4) and (12,–6,2) intersects the three…

A:

Q: between the point and the plane. 43. (1,−2, 3); 2x − 2y + z = 4

A: Given: The point is 1,-2, 3 and the equation of the plane is 2x-2y+z=4 To find the distance between…

Q: Write the equation of the plane passing through point (3, 8, 3)| that is parallel to the xz- plane..

A: Given: A plane passes through (3, 8, 3) and is parallel to the xz-plane. To Find: Equation of plane

Q: Determine the distance between the point (-1, 2, 1) and the plane 2x +14y -5z = 7

A: We know that the distance between a point (x1, y1, z1) and a plane Ax+By+Cz = D is…

Q: Find an equation of the plane consisting of all points that are equidistant from (-1, 3, 2) and (2,…

A:

Q: 4] Find the equation of the plane that contains the point (а, 0, 0), (0, b, 0) and (0, 0, c).

A: First find two vector and then take cross product which is normal vector  Now use equation of plane

Q: Find an equation of a plane through the point (-2, 1, 5) which is orthogonal to the line 2= -3- 3t,…

A: The director vector of the line is (-3, -4, -3). Given that the plane is orthogonal to the line. So…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.