Find the linear equation of the plane through the point (0, 1, 1), (1, 0, 1), and (1, 1, O)

Q: Find an equation of the plane. the plane through the points (0, 5, 5), (5, 0, 5), and (5, 5, 0)

A: use the equation of plane(formula) for finding  the equation .

Q: Find the equation of the plane through the points (2,-1,3), (2,0,–-1),and (0,7,2).

A: Given that three points and we find that equation of plane . Here i attached solution of this…

Q: Find an equation (in standard form and in general form) of the plane containing the points (2, 1,…

A:

Q: Find an equation of the plane perpendicular to the line through (2, 2, –4) and (7, –1,3) and…

A:

Q: Find an equation of the plane through the points (1,-1,0), (2,1,-1), and (1,3,-1).

A:

Q: Find an equation of the plane that passes through the points (-2, 1, 1), (0, 6, 11), and (1,0,-1).…

A: We need to find the equation of the plane that passes through the points (-2, 1, 1), (0, 6, 11) and…

Q: Find an equation of the plane passing through the three points given.P = (2, −1, 4), Q = (1, 1, 1),…

A: To find the equation of the plane passing through the three pointsP =x1,y1,z1= (2, −1, 4), Q…

Q: Find an equation of the plane. The plane through the point (8, -8, -8) and parallel to the plane 5x…

A:

Q: Find an equation for the plane through the points (3, 2, 3), (–1,2,0), (1,0, –1). The plane is

A:

Q: Find an equation of the plane passing through the points.(−4, −4, −4), (4, −1, −4), (−4, −1, −4)

A: Here given as

Q: Find an equation of the plane passing through the three points give P = (4, –1, 2), Q = (1, 1, 1), R…

A:

Q: 10

A:

Q: 7. Find the equation of the plane passing through the points (1, 1, 2), (3, –1,6) and (5, 2,0).

A: To find the equation of the plane passing through the given points

Q: Find the equation of a plane passing through (2,1,3), (3, –1,5), and (1,2, –3).

A: Equation of plane

Q: Find an equation of the plane that passes through the point P(-4, -5, 4) and has the vector n =…

A: Plane passes through the point P-4, -5, 4 and has the vector n=-4, 9, 4 as a normal.

Q: Find the equation of the plane containing the points (1,1,−2),(1,2,1),(−1,2,−2)

A: The equation of plane containing the points 1,1,-2, 1,2,1, and -1,2,-2 is to be evaluated.

Q: Find an equation of the plane. The plane through the points  (3, −1, 2), (8, 4, 5), and (−2, −2, −4)

A: Equation of a plane passing through (x1,y1,z1) , (x2,y2,z2) , (x3,y3,z3) is given by:

Q: 2. Find the equation of the plane through the points (1, -3,2), (3,0,– 1), and (0,5,5).

A:

Q: 2. Write the symmetric equation of a line through the points (0, 2,8) and (3,-3, 4). Find where this…

A:

Q: Find an equation of the plane. The plane through the point (6, −8, −8) and parallel to the plane…

A:

Q: Find an equation of the plane that passes through the points (-6, 1, 1), (0, 3, 5), and (1,0, –1).…

A:

Q: Find an equation of the plane passing through the points.(1, −2, 1), (−1, −1, 7), (2, −1, 3)

A:

Q: 3. Find an equation of the plane passing through the points (-1,2,0), (2, 3, 6), and (-1, 5, 2).

A:

Q: Find an equation of the plane through (1,3,–2) and the line of intersection of the two planes with…

A: Given that, Point A (1,3,-2) Two planes  P1: x-y+z-1=0P2: x+y-x-1=0   We have to find the equation…

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

A:

Q: 5 Find the equation of the plane passing through the points A(1, 2, –3), В(2, 1, 4), С(3,0, 1).

A:

Q: Find an equation of the plane. The plane through the points  (2, −1, 3), (6, 4, 6), and (−3, −3,…

A: Let the given points are - A=(2,-1,3) B=(6,4,6) And C= (-3,-3,-3)

Q: Find an equation for the plane through А (0, 0, 1), B (2, 0, 0), and С (), 3, 0).

A: The equation of a plane passing through three points Ax1, y1, z1, Bx2, y2, z2 and Cx3, y3, z3 is…

Q: Find an equation of the plane. The plane through the points (4, 1, 4), (5, −8, 6), and (−4, −5, 1)

A: ivenThe plane through the points(4, 1, 4) , (5, -8, 6) and (-4, -5, 1)we have to find the equation…

Q: Find the equation of the plane that passes through the point (−2, 8, 4) and contains vectors ⃗a…

A: The equation of plane passing through the point x0, y0, z0 and contins vector a→ amd b→ is n1(x -…

Q: Find the equation of the plane containing the points (0, 1, 3), (2, 2, 2) and (3, 2, 1)

A: Given: points (0,1,3), (2,2,2), (3,2,1) Find: equation of the plane containing given points

Q: Find an equation of the plane containing the points (0,0, 2), (2, 4, 1) and (–2, 3, 3)

A: Given:      Points 0,0,2, 2,4,1 , -2,3,3 Recall that we can generally write the equation for a plane…

Q: Find the equation of a plane passes through (1, 2, 3), (3,2,1) and (-1, -2, 2) ○ 4x - 3y + 4z = 10…

A: This question is based on finding equation of plane that passes through 3 points.

Q: Find an equation of the plane containing the points (0,0, 2), (2, 4, 1) and (–2, 3, 3).

A: Equation of a plane containing 3 points is x-x1y-y1z-z1x2-x1y2-y1z2-z1x3-x1y3-y1z3-z1=0

Q: Find the linear equation of the plane through the origin and the points (6, 4, 2) and (6, –1, 1).

A:

Q: Find the equation of a plane passing through A(2,1,3), B(3, −1,5), and C(1,2, −3).

A:

Q: Find an equation of the plane that passes through the point P(-3, -2, 3) and has the vector n = (-7,…

A: Find an equation of the plane that passes through the point P(-3, -2, 3) and has the vector n = (-7,…

Q: 4. Determine the equation of the plane passing through the point (1, –4, 3) and parallel to x – y…

A:

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: Find the equation of the plane through the points (1, -1, O), (1, 0, 1) and (2, 2, 1).

A:

Q: Find an equation of the plane passing through the points.(0, 0, 0), (1, −1, 0), (0, 1, −1)

A:

Q: Find an equation for the plane passing through the points (– 5, 2, 3), ( – 1, 2, 5), and (– 2, – 3,…

A: We have to find equation of plane Passing through 3 points.

Q: Find an equation for the plane through the points (4, 2, 2), (1, 2,0), (-1,0,2).

A: given 3 points are x1, y1, z1=4,2,2 x2, y2, z2=(-1,0,2) x3, y3, z3=(-1,0,2)

Q: Find an equation of the plane through the points (2, 1, 2), (3, -8, 6), and (-2, -3, 1) . Show all…

A: Given plane passing through given three points

Q: Find the general form of an equation for the plane through the points (4,3,4), (-2,0,1),(0,–1,2).

A:

Q: Find the general equation of the plane through the point (3, 2, 5) that is parallel to the plane…

A:

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: Find an equation of the plane through the three points given: P=(0,0,3), Q=(2,−3,2), R=(−1,1,0)

A: find the equation of the plane

Q: Find an equation of the plane passing through the points.(0, −1, 0), (1, 1, 0), (2, 1, 2)

A: we have to find an equation of the plane passing through the points (0,-1,0), (1,1,0), (2,1,2)

Q: Find an equation of the plane that passes through the points (-2, 1, 1), (0, 4, 7), and (1,0, –1).…

A: The plane that passes through the point,       -2,1,1, 0,4,7 and 1,0,-1