The points that are equidistant from A = (5,-3,2) and B = (7,9,-4) form a plane. a.) find the equation of this plane in the form of ax + by + cz = d b.) find the coordinates for where this plane intersects the z-axis

The points that are equidistant from A = (5,-3,2) and B = (7,9,-4) form a plane. a.) find the equation of this plane in the form of ax + by + cz = d b.) find the coordinates for where this plane intersects the z-axis

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter1: Line And Angle Relationships

Section1.1: Early Definitions And Postulates

Problem 36E: Consider noncoplanar points A, B, C, and D. Using three points at a time such as A, B, and C, how...

See similar textbooks

Related questions

Q: Find general solutions 17. y" - 4y = -12r² +6x-4; 18. y"+y+y = -13 sin(2x); 19. yy=e+xz; 20. y" - 4y…

A: 19) We have given a differential equation , y'' - y = ex + x First we will find complementary…

Q: Let b be an inner product on the vector space E. 1) If b(u, v) = 2, |lu|| = 4 and ||v|| = 5 then…

Q: 1. N 2. 3. 4. X # X XX D E B :: C O ماده با - C ? D E ? E ? ?

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

Q: Problem n°8 Find yas fn of x | x³y" - 7 xy' H6y +6y= y()= 8182-1038, ^3/5 = 180/+ " wal x9 =x³. x³;…

Q: 1 8) Find the Laurent series of f(z) = (2-1)(z-2) if 1 < |z| <2

A: Here we have to find laurent series of f(z) in given interval

Q: 3- The interval (0,1) in (R, T;) is: a- Compact subspace, b- Connected subspace, c- Both a and b, d-…

Q: Use the "Big Idea" of transformations to find equations for these two functions. 1.1 Unsaved 1.1…

A: As per company guidance i am solving first question please resubmit for another one. Consider the…

Q: 8) For each case, determine the form of the Porticular Solution (DO NOT SOLVE) a) y" - 4y +134= e…

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…

Q: The approximate value of [(e^² + 4x² − 8) dx by a single application of Simpson’s 3/8 rule išº − is…

Q: Complete the square to write the equation of the sphere in standard form. x2 + y2 + z2 + 9x - 2y +…

Q: 3D+1 {X²exZ (sin3 4-(b+1)

Q: Ali, Ben and Calvin divided some stickers among themselves. Ali took 20 stickers and 1/5 of the…

A: Let x be the number 1n of the given number means 1nx Remaining of the number is the amount left…

Q: A (b) Determine all ordered pairs (a, b) so that the linear system below has infinitely many…

Q: If f(x)=10*+²-5 and g(x)= log(x+5)-2, show that the functions are inverses of one another using…

Q: Find the following. u = v = a) || u || b) || v || c) || u+v || d) || u/ ||u|| || e) || v /…

Q: Evaluate: (A×B)•(C×D) + (B×C) • (A×D)+(C×A) • (B×D) show complete solutions

A: We have to evaluate (A×B)•(C×D) + (B×C) • (A×D)+(C×A) • (B×D)

Q: Consider the surface S given by: S: r(u, v) = (uv, u² + v³, 3v²), u € [0, 2], v € [0, 1] whose…

Q: QUESTION 6 Solve the following boundary value problems a. y"+4y= 0, y(0)=-2, y (7) = 5 6 b. y"+3y=0,…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Explain two different observations about the graph of y=cosx that prove its derivative is y= -sinx.…

A: Explain two observation about the graph of y=cos x and the graph of y=-sin x to prove that the…

Q: Find the vectors u and v whose initial and terminal points are given. Initial Point Terminal Point…

A: Find the vectors u and v whose initial and terminal points are given. Initial Point Terminal…

Q: Let D be the portion of z = 2z + 5y inside z² + y² = 1, oriented up, and let F = (y, z, -z). Compute…

Q: Solve Implicitly 2 - уч = e у туха э ох

Q: 7. Determine the period of each function: a) y sin- x 2r 7 b) y = cos 2(x-45°) c) y = cos(x+90°)…

Q: 5-X=(Mod7) The values of X that makes the statement true is/are Or there’s no solution

Q: Find the Laurent series of f(z) = (2-1)(z-2) if 1</z] <2

A: Here we have to find laurent series of f(z) in given interval

Q: Find general solutions for the given differential equations 6. (x+22³)dx + (y-2y2)dy = 0. 7. y' -…

Q: In Problems 17-20, expand f(z) = annular domain 0 <z - 2 <3 N (z + 1)(z-2) in a Laurent series valid…

Q: • Create a symmetric equation of a line with the digits 6, 8 and 4. Does the point D (7,-1,8) lie on…

Q: 4. Show that for any bounded linear operator T on H, the operators T₁=1/√(T+T*) and T₁=1 (1 ==…

Q: 3. Show that the vectors v₁ = (0, 3, 1, -1); v₂ (6, 0, 5, 1); v =(4, -7, 1, 3) form a linearly…

Q: figure out absolute min & max values: g(x)=cos^2(x)-3sin(x) | AMALIA Dumatinnn. Interval: 0x<=pi

Q: For the given function 6=x²yz C=3x²yi+yz²j-xzk and Find 82 Sysz (c) at point (1, -2, -1).

Q: Consider the following. u = , v = (a) Find the projection of u onto v. (b) Find the vector…

A: Find the projection of u onto v and find the vector component of u orthogonal to v.

Q: Problem non Find y as fi ofa y" _7y"_y² + 7y=0; y(0) = 7; 9²601 = 1; 9²4(0)=7 уск TV = entory Xey…

Q: B 15 5 U A O 11 19 18 16 10 Given the Venn diagram as shown above, answer each of the following…

Q: 1. Let V be the set of all 2 x 2 matrices A= a. Is V close under addition? Show your proof. b. Is V…

Q: A goal is to get at least 15% of daily calories from polyunsaturated fats found in various nuts,…

Q: Find the zero-divisors of Z6.

Q: 1 8) Find the Laurent series of f(z) = (2-1)(z-2) *** *E*** HRE b) + +3+2+² +²²+22³ + *** **** 18 c)…

Q: A string of length 15 cm is stretched between two points as shown in Figure 1. A point P on the…

Q: Consider the following ODE y' = y+t/y+1 Which kind of ODE is ?

A: Given ODE is y'=y+ty+1. Simplify y'=y+ty+1. ⇒dydt=y+ty+1⇒y+1dydt=y+t⇒y+1dydt−y=t..........1 Since,…

Q: Let D be the portion of z = 2x + 5y inside z2 + y² = 1, oriented up, and let F = (y, z, -z). Compute…

Q: Determine whether or not the below series converges or diverges. If

Q: Let P be a Sylow 19-subgroup and Q be a Sylow 7-subgroup. Then PQ is a subgroup of G of order: O 21…

A: We have given that , P be a Sylow 19-subgroup. Q be a Sylow 7-subgroup. We need to find , order of…

Q: 3) For the function f(x)=2* the two-point formula to approximate the first derivative of fat xis…

A: Solution

Q: 2. Determine the general solution of the following equation X₁ 3 -1X1 e 1-(³ + X₂ 1

Q: Directions: Translate each argument into symbolic form (using the suggested letters) and determine…

A: We need to translate given argument into symbolic form and then we need to determine the validity of…

Q: Use the Laplace transform to solve the given initial value problem. For technical reasons, write u…

Q: If F is a finite field of characteristic p, then aap is an automorphism of F.

Q: Solut Now, Given height (h) = (h) = 7cm radius (r) = dh 1 = dr Formula: volume of cylinder volume…

A: Given that Height h=7 cm Radius r=10 cm And dhdr=1. Now, formula of cylinder Volume V=πr2h......1…

Question

The points that are equidistant from A = (5,-3,2) and B = (7,9,-4) form a plane.

a.) find the equation of this plane in the form of ax + by + cz = d

b.) find the coordinates for where this plane intersects the z-axis

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Does a right circular cylinder such as an aluminum can have a symmetry with respect to at least one plane? b symmetry with respect to at least one line? c symmetry with respect to a point?
Refer to the prisms of Exercises 1 and 2. Which of these have symmetry with respect to one or more planes?
Does a right circular cone such as a wizards cap have a symmetry with respect to at least one plane? b symmetry with respect to at least one line? c symmetry with respect to a point?
Note: Exercises preceded by an asterisk are of a more challenging nature. In the figure, which of the points A,B,C,D, and E belong to the locus of points in the plane that are at distance r from point P?
Note: Exercises preceded by an asterisk are of a more challenging nature. In the figure, which of the points E,F,G,H, and K belong to the locus of points in the plane that are at distance r from line l?