Write the equation for the plane. The plane passing through the points (1,2,6), (- 1,4,0), and (3,1,5) O A. 2x+4y+ 5z = 40 B. 6x+ 11y-z = 22 O C. 9x-2y+ 8z = 53 O D. 4x+7y+z = 24

Q: Find equations for the planes The plane through (1, 1, -1), (2, 0, 2), and (0, -2, 1)

A: Use the definition as

Q: 14. Which of the following planes is the equation for the plane with an x-intercept at P(2,0,0), a…

A:

Q: Find the equation of the plane that contains the point (5, 2, 7) and the line r(t) =

A: Topic = Geometry

Q: Write the equation for the plane. The plane through the point P(-2,-5,3) and normal to n = (2,7,8 O…

A:

Q: (b) Find the equation of the plane passing through the points A(2,2,1), B(9,3,6) and perpendicular…

A:

Q: (a) Find the point at which the given lines intersect. (2, 2, 0) + t(2, –2, 2) (4, 0, 2) + s(-2, 2,…

A:

Q: Write the equation of a plane that intersects at the coordinate axes OX and OY segments 2 and -17…

A: Given that: Intercepts of  a plane with coordinate axes: OX=2 and OY=-17and Plane passes through…

Q: Which of the following is the equation of the plane where x-2y + 32 = 3 and x+y+z=2 and passes from…

A:

Q: Write the equation for the plane. The plane through the points P(5, -2, -27) , Q(-3, -4, 25) and…

A:

Q: Find the equation for the plane through the points Po(4, - 3,3), Qo (0,5,4), and Ro(1,4,3). The…

A: Given points P0(4,-3,3) , θ0(0,5,4), R0(1,4,3)The objective is to find the equation for the plane…

Q: Find an equation for the plane that passes through the following points. (2, −1, 3), (0, 0, 5), and…

A: Given,          The plane that passes through the following points (2, −1, 3), (0, 0, 5), and (5, 6,…

Q: Find the equation of the plane  The plane contains the point (1, 2, −5) and the line determined by…

A: Consider that the plane passes through the point 1,2,-5 and the rt=-4+t, 3+5t, 2-3t. Find the…

Q: Find the equation for the plane through the points Po(-1,-5,-2), Qo(3,-4,2), and Ro(1,1,5). .....…

A: Given: P0-1, -5, -2, Q03, -4, 2 and R01, 1, 5

Q: Find the equation for the plane through Po(3,1,9) perpendicular to the following line. x = 3 + t, y…

A:

Q: (b) Find an equation of the plane that passes through the points A(3, - 2, 0), B(1, 4, 2) and С(3,…

A:

Q: Find the equation for the plane through the points Po(-3,5,3), Qo(0, – 5,2), and Ro(1,1,- 2). The…

A:

Q: Write the equation for the plane. The plane through the points P(5, -2, -27) , Q(-3, -4, 25) and…

A:

Q: Please help with the following math question: Find the equation of the plane that passes through…

A: Given:  P=(−1, −5, 4),Q=(−5, −4, 2), and R=(2, 1, −1) To determine: The equation of the plane…

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

A: The plane passing through the points P1, 1, -1, Q3, 0, 2 & R-2, 1, 0. Equation of a plane…

Q: 26. b) Given four points A(-2, 0, -3), B (1, -2, 1), C (-2,-3,2), D ,0). Find the equation of the…

A:

Q: Q4 /A// Determine the equation of the plane that contains the points P1 =(2, 1, -1) „P2= (3, 1, 4),…

A:

Q: Write the equation for the plane. The plane through the points P(5, -7, -18) , Q(-3, 8, 1) and…

A:

Q: Which of the following points is on the xz plane? a) (1, -3, 0) b) (0, 4, 0) c) (0, 3, -2) O d) (2,…

A:

Q: 3. Write an equation of the plane that is determined by the lines given by == and ==국 -2 z-2 -3 4 -1

A:

Q: - 1 y - 1 -3 23. (2, – 1, – 3); z- 2 %3D 3 2 2

A: The general equation of plane is ax+by+cz+d=0. To find the equation of plane which passes through…

Q: C. Find the equation of the plane passing thru P;(-1,2, –3) and perpendicular to the line through…

A:

Q: Write the equation for the plane through the points P(-1, -7, 45), Q(2, 3, -6) and R(1, -4, 33).…

A: Here we have to find the equation of the plane through the points P(-1,-7,45),Q(2,3,-6) and…

Q: write down the equation of the plane. a) The plane containing the two lines given by ī =…

A:

Q: Find an equation of the plane that passes through the points M(1,2,3), N(-3,-2,5), and O(2,-3,4).

A:

Q: . Find the equation of the plane that contains the point of intersection of the two lines L₁: =…

A: Given problem:- . Find the equation of the plane that contains the point of intersection of the two…

Q: Find the equation for the plane through the points Po(1,4,-3), Qo (5,5, -1), and Ro(-2,4,-5 The…

A:

Q: Write an equation for the plane that contains the x-axis and the point (0, 8, 24). O 3 = x² + y? +…

A: Please refer the attached image for complete solution.

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: Write the equation for the plane. The plane through the point P(2, - 2, - 3) and parallel to the…

A: By the using properties we find the required equation of plane.

Q: Find the equation of the plane that contains the point (−2, 3, 1) and the line +t.

A:

Q: Write the equation of the plane. The plane containing the points (4,-3,1), (-3,–1,1) and (4,-2,8).

A: Here the given three points Use the formula of the equation of plane passes through the three-point…

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

A: The points P1,1,-1,Q3,0,2, and R-2,1,0. We have to find the equation for the plane through these…

Q: Let A(2,1,3), B(3,3,5), and P(1,3,6) be points. a. Find the equation of the plane which passes…

A:

Q: Find the equation for the plane through the points Po(4,3, - 4), Qo(0,-5,3), and Ro(0,4, - 2). The…

A: The plane passing through the points P0(4,3,-4), Q0(0,-5,3) and R0(0,4,-2)

Q: Write the equation for the plane. The plane through the point P(-4, -1, -6) and perpendicular to…

A: GIVEN: Point P (-4, -1, -6)  Line x = 10 + 4t, y = 7 + 3t, z = 1 + 5t

Q: Find an equation for the plane passing thnrough the given points: Р(- 4, — 1, — 1), Q(- 2, 0, 1). R(…

A: Given that: Points P(-4,-1,-1), Q(-2,0,1), R(-1,-2,-3)

Q: Find the equation for the plane through the points Po(- 5, - 3, - 4), Qo(-3, - 1,1), and Ro(4,3,0).…

A:

Q: - Find the equation of the plane that passes through the three points A(1,0,0), B(0,2,0), and C(0,0,…

A:

Q: Write the equation for the plane through the points P(-1,6, - 61), Q(2, - 8,66), and R(1,- 7,53). O…

A:

Q: Write the equation for the plane. The plane through the points P(5, 8, -33), Q(-3, -6, 19) and R(-1,…

A:

Q: Find the equation for the plane through Po(1,8,-5) perpendicular to the following line. x- 1+t, y= 8…

A: We have give equation of line x=1+t, y=8+5t ,z=-2t We can write this equation in symmetric from…

Q: Find an equation for the plane through A(-2, 0, -3) and B(1, -2, 1) that lies parallel to the line…

A: Given points are

Q: Write the equation for the plane. The plane through the point P(-4, -4, 3) and parallel to the…

A: Explanation of the answer is as follows