Find the distance from the point (- 4, 21, – 5) to the given plane or axis. If required, round your answers to two decimal places. (a) xy-plane d = (b) xz-plane d= i (e) yz-plane d = (d) x-axis d = i (e) y-axis d = (f)z-axis

Q: Find the distance from the point ( – 7, 15, – 5) to the given plane or axis. If required, round your…

A: Here we have to find the distance from the point (-7,15,-5) to the x-axis, y-axis and z-axis.

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…

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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: You are given the following points: A=(−9,−11,19), B=(20,0,−4),C=(10,−11,−23). Which point is…

A: We need to find distance.

Q: Q.1 Find the distance from the point P(1, -2, 3) to the plane 3x - 2y + z +1 = 0

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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 (- 11, 12, – 7) to the given plane or axis. If required, round your…

A: topic - distance of a point from different planes and axis

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

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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: 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 from the point (2, 1,−2) to the plane 6(x − 1) + 2(y − 3) + 3(z + 4) = 0

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

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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: Determine the scaler equation of the plane with × -intercept=2, y intercept=-1 and z intercept=3

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Q: 25. Determine the distance between the parallel line {y = 5-t, te R and the plane {y = 2-s -t, s,t E…

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

A:

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

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Q: Find the distance from the point to the plane. (5,9,1), 4y + 8z =0 The distance is. (Round to two…

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Q: Find the distance from the point to the plane (2,-3,4) , x+2 y - 2 z = 13

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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 point o

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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: 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: You are given the following points: A = (-4, 20, 16), B = (20, 0, 7), C = (8, –15, – 19). %3D Which…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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 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: Find an equation of the plane. The plane through the point (3, 0, 2) and perpendicular to the line x…

A: Given point : P3,0,2and the line L:x=9t, y=2-t, z=6+2tThe required plane passes through P and…

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 an equation of the plane. The plane through the point  (3, −4, −7)  and parallel to the plane…

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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: Find the distance from the point to the plane. (8,7,3), y + 6z = 0 The distance is (Round to two…

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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 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 the angle between the two planes 4x-y+3z=12 and x+2y+4z=4. Make a sketch of your answer.

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Q: The point is located in the yz-plane, three units to the right of the xz-plane, and two units above…

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

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

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

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Q: Q = (-1,3,–1) on the plane Find the point P nearest to x – 4z = 2

A: Given, Q=(-1,3,-1) x-4z=2 (equation of plane) x-4z-2=0

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

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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: Find the distance between the origin and the intersection line of the planes : 2x+y+z=2 and x+2y+z=3…

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

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

A: