Find the distance from the point (- 11, 12, – 7) to the given plane or axis. If required, round your answers to two decimal places. (a) xy-plane d = i (b) x2-plane d = i (c) yz-plane d = i (d) x-axis d = (e) y-axis d = i (f) :-axis

Q: ax + by + cz + d, = 0 13) Show that the distance between the parallel planes: and ax + by + cz + dz…

A: here we have to prove the formula of distance between 2 parallel planes.

Q: Find an equation of the plane. The plane through the point (2, 0, 8) and perpendicular to the line…

A: The given line has direction ratio= (7, -1, 3) Given that the line is perpendicular to the plane. So…

Q: Find an equation of the plane.  The plane through the point (2, 0, 5) and perpendicular to the line…

A:

Q: Find the distance from the point (- 5, 20, – 7) to the given plane or axis. If required, round your…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Q3: Find the distance between the origin and the plane containing the points A(1,1,0), B(-1,0,1) and…

A: Find the distance between the origin and plane containing the points A(1,1,0) , B(-1,0,1) and…

Q: Find an equation for the set of points equidistant from the a. xy-plane and yz-plane. b. x-axis and…

A: a) Let (x,y,z) be such point that xy-plane and yz-plane are equidistant from it.Distance of (x,y,z)…

Q: What is the distance between the point A(2,5,1) and the plane x + 2y +2z +1=0 ? Answer:

A:

Q: Find the distance from the point (- 11, 14, – 8) to the given plane or axis frequired, round your…

A: Given that: A point (-11, 14, -8)     NOTE: As per our answering guidelines, we can only answer 1…

Q: Find the distance from the point Q to the plane p. Q= (2, 2, 2), P with equation x + y - z = 0

A: Given equation of plane is x+y-z=0 and given point is Q(2, 2, 2).

Q: Find the distance from the point ( - 4, 21, – 19) to the given plane or axis. If required, round…

A:

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: A detailed solution is given below

Q: You are given the following points: A = (11, –14, –16), B = (16,0, 5), C = (-9, 16, 13). Which point…

A: Answer

Q: plane

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Q: 4. Calculate the perpendicular distance between the plane with axis intercepts P(4, 0, 0), Q(0, 3,…

A: Answer is: 0.53846153846153846 Solution is given below:

Q: Find the distance between the given point and the given plane. Point: (−1, 4, −2) Plane: x+2y+z=3

A: We can use distance formula to calculate the distance.

Q: Find an equation of the plane. The plane through the point (-3, 9, 10) and perpendicular to the line…

A: Find the equation of the plane

Q: A Find the Distance from the point (2,-6) to the line 3x+ 4y t6=0 B Find the distance between the…

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Q: Find an equation of the plane. The plane through the point (1, 0, 3) and perpendicular to the line x…

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Q: The line = (2, -1, -2) + s(1, 1, -2), sER, intersects the xz-plane at point P and the xy-plane at…

A:

Q: Find an equation of the plane. The plane that passes through the line of intersection of the planes…

A:

Q: Find the distance from the point to the plane. (9,8,8), 4y + 7z = 0 The distance is. (Round to two…

A: Find the distance between the plane and the point  4y+7z=0 and (9,8,8)

Q: Find the distance from the line x = 2 + 1, y = 1 + 1, z = -(1/2) – (1/2)t to the plane x + 2y + 6z =…

A: The equation of line: x=2+t,  y=1+t,  z=-12-12tTherefore:x-21=y-11=z+12-12 Equation of the plane is:…

Q: You are given the following points: A = (-4, 5, 16), B = (-17,0, 3), C = (5, –6, – 20). Which point…

A: 3D coordinate

Q: Find the point of intersection and acute angle between Line and Plane x +1 = 4t, y -3 = t, z-1 = 0,…

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Q: Find the distance from the point to the plane. (5,7,6), 10y +z= 0 The distance is

A: We can find the distance as below.

Q: Q1/: Find the distance between plane (6x - 2y - z +4 = 0) and point (3, 2, 1). (6 marks)

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Q: Find the distance from the point to the plane. (10,10,5), 9y + 2z = 0 The distance is 0

A:

Q: Find an equation of the plane A through the point P(0,1,−1) and parallel to the plane B −x+ 2y+z=−3…

A: We will find the equation of plane a and the distance between two planes as following

Q: Q1): Find the point (x, y, z) that lines on the plane x +y + 2z = 4 that is nearest to the origin.

A: This question can be solved using the concept of distance of point from a plane in three dimensional…

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: This question is related to plane and lines, we will solve it using given information.

Q: Va+ ド+で Find the distance between the point (0, 1,5) and the plane 3r + by – 2z-5 0.

A: topic - distance of point from plane

Q: Q.2C) In the xyz-plane determine the distance and angle from point (2,1,1) in the space and two…

A: We have to solve given problems:

Q: Find the distance between the point P(1, -2, -3) and the plane x + 2y + 2z - 15 = 0. Answer:

A:

Q: Find the distance from the point (– 4, 10, – 11) to the given plane or axis. If required, round your…

A: We have given the following information :point (-4,10,-11)To find distance of any point from the…

Q: Find Angle between -3/2x-6y+z=4  and 2x-y-1/2z=7 find an equation for the line L of intersection of…

A: The objective is to find angle between two planes and equation of line passing through the…

Q: is cut by the plane given by y = the point (1, 3, -8). 3x, producing a curve in the plane. Find the…

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Q: XY XY 4. Three points determine a plane.

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Q: Find an equation of the plane. The plane that passes through the line of intersection of the planes…

A:

Q: Find the distance from the point (– 4, 21, - 5) to the given plane or axis. If required, round your…

A:

Q: Find an equation of the plane. The plane through the origin and parallel to the plane 4x - y + 3z =…

A: Compare the given equation of plane 4x-y+3z=3 with the standard equation of plane ax+by+cz+d=0 to…

Q: Find the distance from the point (- 4, 21, – 5) to the given plane or axis. If required, round your…

A: As per the guidelines I am supposed to do first three questions of a multipart questions. So I am…

Q: Find the distance from the point ( - 11, 16, – 13) to the given plane or axis. If required, round…

A:

Q: Find an equation of the plane. The plane through the point  (5, −5, −2)  and parallel to the plane…

A:

Q: The plane can perpendicular to the a) x-axis at (3, 0, 0) b) z-axis at (0, 0, -2) c) y-axis at (0,…

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Q: Find an equation of the plane. The plane that passes through the line of intersection of the planes…

A:

Q: Find an equation of the plane. The plane through the point (-3, 7, 10) and perpendicular to the line…

A: Given:- The plane through the point (-3, 7, 10) and perpendicular to the line x = 5 + t, y = 2t, z =…

Q: Find the distance from the point to the plane. (7,3,6), 10y +z= 0 The distance is

A: Given query is to find the distance between the point and the plane.

Q: Find the distance from the point to the plane. (9,5,2), 8y + z=0 The distance is (Round to two…

A: Explanation of the answer is as follows

Q: 5. Cakculate the distance between the point (3. 1. -2) and the plane 2x + y - z+1-0 O 10 /14 O -10…

A: Find the distance between point and plane?  Value of k for det A= -4

Q: Find the distance from the point to the plane. (3,9,9), 2y + 5z =0 The distance is (Round to two…

A: