Write the equation for the plane. The plane through the point P(2, 4, 2) and normal to  n=3i +7j+6k

Q: Determine whether or not the lines OB and BC intersect Find the Cartesian equation of the plane II,,…

A:

Q: Find an equation of the plane. The plane through the point (2, -8, -1) and parallel to the plane 7x…

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: Find a plane containing the point (5,5,4) and the line r (t) +t Question Help: Message instructor

A: To find plane containing the points (5,5,4) and the line.

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: Let A(2, 1, 1), B(1, 2, 1), and C(1, 1, 2) be three given points. Find (iv) an equation of the…

A: Given: A = (2, 1, 1) B = (1, 2, 1) C = (1, 1, 2)

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 an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

A:

Q: a) Find the area of ​​a rosette petal given by r = 3cos3θ b) Find the equation of the plane that…

A:

Q: Find the point, P, at which the line intersects the plane. x= - 7+ 9t, y= -7-5t, z= 8- 10t; 9x – 9y…

A: Please refer to the image below

Q: Find an equation of the plane. The plane that contains the line x- 5+ 24, y = t, z = 6 -t and is…

A: Our Aim is to find the equation of the plane that contains the linex=5+2t, y=t and z=6-t and is…

Q: Find the point, P, at which the line intersects the plane. x= 5- 3t, y = 4+ 6t, z = 10 - 3t; - 8x+…

A: Explained below

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: At what point does the plane through A = (1,0, 0), B = (2,1, 1), and C = (-1,3, 4) cross the y axis?…

A:

Q: P = (A, 0, 0) P2 = (0, B,0) P3 = (0,0, C') a) Find the equation of the plane formed by the three…

A:

Q: 4) Consider a plane P that contains the points A(2,0, –3), B(1,5, 2), and C(0,7, 1). a. Write the…

A: Since, it is a multiple part question, we will answer the first three parts.

Q: d an equation of the plane with the given characteristics. The plane passes through (0, 0, 0), (4,…

A: Given; Points- (0,0,0),(4,0,6),(-4,-1,8)

Q: (a) Find the point at which the given lines intersect. r = (3, 2, 0) + t(2, –2, 2) r = (5, 0, 2) +…

A: Consider the equations of lines

Q: Consider the points: A = (1, 0, 0), B = (2, 3, 5) and C = (-4, –4, –2). The equation of plane which…

A:

Q: Find an equation for the plane through the point P = (-4, 6, -3) which is perpendicular to the…

A: Topic- equation of plane

Q: Determine if each statement is true or false, and explain your response An equation of the plane…

A: Answer and explanation is given below........

Q: 5) The equation for the plane through A(2, 0,0), B(0,1,0), C(0,0,5) is

A:

Q: Find an equation for the plane through the point P = (6, 3, –3) which is perpendicular to the vector…

A:

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

A:

Q: B) Find an equation for the plane through A(3,3, 3), B(5,5,5) and C(0,5,9).

A: Given the points are A(3,3,3) , B(5, 5, 5) and C(0, 5, 9) Equation of the plane passing through…

Q: Find the point, P, at which the line intersects the plane. x= 8- 2t, y = - 10+ 2t, z = 9– 3t; 10x -…

A: Substitute the point of the line in the equation of the plane and solve for t

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: Let A = and B = , P = (9, 8, 7) d. find an equation for the plane which contains the point Pand is…

A: We have to find an equation for the plane which contains the point P(9,8,7) and is parallel to A =…

Q: Find the point, P, at which the line intersects the plane. x= - 2+ 2t, y = - 3 + 8t, z= - 10+ 4t; 7x…

A: We have to find out the point of intersection

Q: Find the equation of the plane passing through the three points ?=(−1,0,2),?=(2,−1,2),?=(3,−3,−3).

A: We know that, the equation of a plane passing through three non-collinear points…

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: Consider the points A(2, 0, 0), B(0, 2, 0), and C(0,0,2). a. Find the equation of the plane passing…

A: Given three points are, A (2, 0, 0)     B (0, 2, 0)    C (0, 0, 2) The equation of plane passing…

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 an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

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: Find an equation of the plane. The plane through the point (7, 0, 5) and perpendicular to the line x…

A:

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: Q2. Sketch the three points on 3-D coordinates. Then Find equation of the plane has P1 (3, 2, 1), P2…

A: A cartesian coordinate system contains 3 mutually perpendicular number lines named x axis, y axis…

Q:

A: Given problem:- Find the distance from the plane to the origin. The plane has A(1,1,0) B (-1,0,1)…

Q: Q2. Sketch the three points on 3-D coordinates. Then Find equation of the plane has P1 (3, 2, 1), P2…

A: Given points P1 =(3,2,1)P2=(2,1,-1)P3=-1,3,2

Q: Consider the points A(2, 0, 0), B(0, 2,0), and C(0, 0, 2). a. Find the equation of the plane passing…

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

A:

Q: ind an equation of the plane with the given characteristics. The plane passes through the points (4,…

A:

Q: Find the equation for the plane through the points Po(-4,- 5,3), Qo(0, - 2,- 1), and Ro (2,4, - 2).…

A:

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

A: Given query is to find the equation of the indicated plane.