Answered: The equation of the plane passing…

The equation of the plane passing through A(2,1, – 1), B (0, –2,0), and C(1,-1,2) is: O 2x+y-z=0 None of these O 7x-5y-z=10 X-y+2z=1

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 21E

See similar textbooks

Related questions

Q: The equation of the plane that contains the three points (1, 2, 0), (1, 3, 1), and (3, 0, 4) is 6x…

A: Cartesian equation of a plane passing through three non collinear points A(x1,y1,z1), B(x2,y2,z2),…

Q: An equation of the plane passing though the points A(-1;2;0),B(0;1;2) and C(1; -1;0) is: O…

A: It is know that equation of plane passing through points x1,y1,z1,x2,y2,z2 and x3,y3,z3 is…

Q: Find the equation of the plane passing through the three points A = (-1,0, 2), B = (2, –1, 2), C =…

A: Directly use the formula for the equation of plane when 3 points are given.

Q: Find the equation of the plane passing through the points O = (0,0,0), A = (-2,–2,1) and B= (-1,0,…

Q: The point in which the line z = 1– 2t, y = 4+ 5t, z = 3- 3t intersects the plane 3x - 4y-2z -1= %3D…

Q: Find an equation of the plane. The plane that passes through the point (3, 4, 5) and contains the…

A: Given that: Point is (3, 4, 5) and line is: x=5t, y=3+t, z=4-t

Q: The equation of the plane passing through the point A(8, 10, 9) and orthogonal to the line x = 7+…

A: Given: Point A(8,10,9) Line x=7+8t , y=6+4t , z=5+9t

Q: Find an equation of the plane. The plane that passes through the point (2, 3, 5) and contains the…

A: We need to find the equation of the plane. x=5t , y=2+t , z=3-t Plane passes through (2,3,5) the…

Q: Find an equation for the plane passing through the points Q(-2, –1, 1), R(-4, 2, 1), S(-5, –1, 2).…

A: We have been given 3 points : Q(-2,-1,1) R(-4,2,1) and S(-5,-1,2). We have to find the equation of…

Q: The equation of the plane passing through A(2,1,-1), B(0,-2,0), and C(1,-1,2) is: None of these…

Q: The equation of the Plane in the form of Ax+By+Cz+D=0 that passes through points (3,1,-2), (-1,2,4)…

A: Topic :- 3-D Geometry

Q: ind the equation of the plane passing through the three points A = (-1,0, 2), B = (2, –1,2), C = (3,…

Q: Find the equation of the plane passing through the three points A = (-1,0, 2), B = (2, –1, 2), C =…

Q: 1. Find an equation for the plane through P,(0,2,–1) perpendicular to n = 3i – 2j-k

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

Q: Find the equation of the plane passing through the three points A = (-1,0, 2), B = (2, –1, 2), C =…

A: The given points are A=(-1,0,2), B=(2,-1,2), C=(3,-3,-3).

Q: (b) Find an equation of the plane passing through the point A(0, 9,2) and parallel to the plane 13x…

A: Given that, the given point is A(0,9,2) the parallel line is 13x+2y-z=10. To find the equation of…

Q: Find the equation of the plane having the points P(1, 2,5), Q(-2, 0, 1), and R(-3,-4,1). 8x + 2y 5z…

Q: Find the equation of the plane passing through the three points A = (-1,0, 2), B = (2, –1,2), C =…

Q: I need help with this question

A: Let the equation of plane passing through the point A(-1,2,0) is

Q: Find an equation of the plane containing all of the points below: P: (3, -2, -1), Q: (1, 1, 1), R:…

Q: The equations for the plane through p0(0,2,-1) normal to n =3i - 2j - k O 3x-3y-3z=0 O 3x-3y=z O…

Q: Find the symmetric equations of the L that is parallel to the two planes x+y-z= 2 and z + 3y+ z =…

Q: The equation of the plane passing through A(2,1,-1), B (0,-2,0), and C(1,-1,2) is: None of these O…

Q: 9. Find the equation of the plane through P(1,1,4) that is parallel to the plane x+ 5y – z + 8 = 0

A: The scalar equation of parallel planes differ only by a constant Therefore, equation of the required…

Q: Which of the following is the equation of the plane containing the points (2,1,2), (4,1,0) and (5,0,…

Q: O Find the equation of the plane that palses through the points A - (2,4,-3), B = (3,-1,5) and 2 :…

A: In the given question we have to find the equation of the plane passes through the points A ,B and…

Q: Which of the following are equations for the plane through the points P(1, 1, -1), Q(3, 0, 2), and…

A: First find PQ and PR , two lines on the plane

Q: 1. Find the equations of the planes that are exactly 4 units from the plane 2x-2y+z=6

Q: Find the symmetric equations of the L that is parallel to the two planes x + 2y - z= 2 and x + 6y+ z…

A: Given: Two planes, P1: x+2y-z=2, P2: x+6y+z=-3, Point P1, 2, 3

Q: Find an equation of the plane with the given characteristics. -4 The plane passes through the point…

Q: The z-coordinate of the point of intersection of the plane r+2y +z= 6 and the line through the…

Q: Find an equation of the plane that passes through the point (1,2,3) and which is orthogonal to the…

Q: Which of the following is the equation of the plane that is passing through the point P(2, 2,-2) and…

Q: Find an equation for the plane that passes through the point (1, 2, 3) parallel to u = 2i + 3j + k…

A: Given:u = 2i + 3j + k and v = i - j + 2kFirst find cross product

Q: Find the equation of the plane passing through the three points A = (-1,0,2), B= (2, –1,2), C = (3,…

A: Given problem:- Find the equation of the plane passing through the three points A = (- 1, 0, 2) B =…

Q: Find an equation of the plane containing the point (3,0.-4) and perpendicular to the line r(t)=…

Q: Find an equation of the plane that passes through the point (-1, 4, 2) and contains the line of the…

Q: The equation of the plane that passing through the point A(-3, 0, 1) and perpendicular to n= (1, -2,…

Q: The equation of the plane passing through A(2,1,-1), B(0,–2,0), and C(1,-1,2) is: None of these O…

Q: 3. Find an equation of the plane passing through the points P = (5,1,1), Q = (1,1,2), R = (2,1,1)

Q: Find the equation of the plane passing through the three points A = (-1,0,2), B = (2,–1,2), C = (3,…

Q: a) Find the equation of the plane containing the points P(3, 1, 5), Q(- 1,– 1,– 1), and R(– 2,2, 4).

Q: 16. Find an equation of the plane through the point (1, 1, –2) and parallel to the plane 3r – z =

Q: An equation of the plane passing through the points A(-1;2; 0),B(0;1;2) and C(1; –1;0) is: O…

Q: 6.) Consider the points P(-1,2,5), Q(2, –3, 0) and (i) Write an equation of the plane containing t

A: Equation of plane: We know that, the equation of plane that passes through point (x, y, z) is given…

Q: Find the general equation of the plane containing the points P1(0,0,0) P2(1,2,-1), and P3(-1,1,0)

Q: At what point does the line r(t) = (6- 3t)i + (-2 + 2t)j + (-1- 3t)k intersect the yz-plane %3D O a.…

Q: 4. Determine the general equation of the plane containing the points P(1, -4, –5), Q(2,0, 13) and R

Question

The equation of the plane passing through A(2,1, – 1), B (0, – 2,0), and
C(1, -1,2) is:
O 2x+y-z=0
None of these
7x-5y-z=10
O x-y+2z=1

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 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Orthogonal Vectors$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.