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 an equation of the plane through (-7, 2, 1) that is 2 = 3t, y +3 = 6t, z = perpendicular to the…

A: We know that equation of plane passing through the point (x1,y1,z1) and normal n=ai+bj+ck is…

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: 6. Determine the distance from the point (2, -1, 5) to the plane 3x - 3y + 5z = 8.

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

A: The parametric equations of the line x=3y=4z may be re-written as  so that its vector equation is…

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 that passes through the point (1, 6, −4) and contains the line:

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 the distance from the point (3, -4, 2) to the yz-plane

A: We have to find the distance from the point 3,-4,2 to the yz-plane. We know that if any point px,y,z…

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

A:

Q: Compute the distance between the point (-2, 8, 1) and the line of intersection between the two…

A:

Q: 7. Find the distance between the point (- 3, 2, 1) and the plane with equation x - 2y + 3z = 5

A:

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

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Q: The distance between the point ( 9,8,3) and the plane x + y – 2z = 5 is .... %3D

A:

Q: Find a plane containing the point (- 5, – 5, 2) and the line r (t) = (1, – 2, 1) + t(4, 7, 5).

A: Given that the required plane passes through the point P=(-5,-5,2) and required plane contains the…

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

A:

Q: Find the equation of the plane containing the point (4, -1, 3) that is parallel to the plane 2x - 3y…

A:

Q: The distance from the point K(3, -2, 0) to the xy-plane is Select one: 3 -2

A: Find out the correct option.

Q: Find the distance from the point (2,-3,5) to the plane passes through the points (1,0,-3), (3,4,-6)…

A: (b) Given point P2,−3,5 and a plane passes through the points 1,0,−3, 3,4,−6 We have to find the…

Q: Find the distance from the point (-5, –13,6) to the plane –9x + 3y – 8z = -67. Distance is ...

A: Given:            point a(-5,-13,6)=(x0,y0,z0)            plane equation is -9x+3y-8z+67=0we know…

Q: the distance between point and our plane is (-3, 3, -2) and not (-3, -3, -2)?

A:

Q: Find the point of intersection of the line through (1, -4, 1) and (4, -12, 6), and the plane given…

A:

Q: point P(1, 1, –3) and orthogonal to the plane 3y – 4x + 2z = 3. |

A:

Q: What is the distance from the point (1,9,3) to the xz-plane?

A:

Q: Determine the distance from point Q = (2, 6, 9) to the plane x + 2y + 2z = 8

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 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: 16- Find the equation of the plane that contains the line = 5 - z, and the %3D point P( 0,5,2).

A:

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

A: Equation of a plane in point normal form is given as, A(x-a)+ B(y-b)+ C(z-c)=0 Where (A,B,C) is the…

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: 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: 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: 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…

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

A: find the midpoint  ...............point on the plane

Q: Where does the line through (-3, 1, 0) and (-1, 7, 4) intersect the plane 2x + y -z = -2?

A:

Q: 5. Find the distance from the point (4, -3, 6) to the plane *-2y+z=1

A: