The line of intersection of the planes 2x +y - z= 4 and 4x – y+3z = 2 has equation %3D O a) (x, y, z) = (1, 2, 0) + t(1, –5, 1) b) (x, y, z) = (1, –2, 0) + t(2, –10, –6) - O c) None of these d) (x, y, z) = (1,2, 0) + t(1, –5, –3) -

Q: The plane II contains the points (1, 2, 3), (0, 1, 2) and (2, 3, 0). The line L passes through the…

A: Since you have posted a question with multiple subparts, we will provide the solution only to the…

Q: Let A(2, -3) and B(-2,1) be vertices of a triangle ABC. If the centroid of this triangle moves on…

A:

Q: Find the intersection of the planes x + y + z = 1 and 3x − 2y +z = 5.

A: Consider two planes which are not parallel to each other and intersect. Since planes are three…

Q: If I is a line passing through the point (1, 2, 3) and perpendicular to the plane 2r+3y-== 5, which…

A:

Q: Find an equation of the plane that is parallel to the line of intersection of the planes x-y+ 2z = 3…

A: To find an equation of the plane that is parallel to the line of intersection of the planes x - y +…

Q: I find the equation of the plane passing through the three point. (1,2,3) (2,-3, 4), (1,1,7),

A: We have to find a equation of plane passing through the given three points.

Q: Find the line of intersection between the two planes x+2y-z = 5 and x-4y+z=3

A:

Q: Determine the values of y such that D(9,3,-2), E(3,4,7) and F(21,y,-20) are collinear

A:

Q: The point on the plane 2x+y+z=1 that is closest to the point (1, 2, 3) is (a, b, c). Then a+b-2c= O…

A:

Q: Find the equation of the planes that contains two lines given by L₁: x= 1-2t, y = 4 + t, z = t and O…

A:

Q: What is the equation of the plane through the three points (1, 2, -2), (3, 2, 1), (5, 1, -4)? A B…

A:

Q: 17) An equation of a plane passing through the point ( 1, -2, 3) and containing the line L: x = 3 –…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: A plane through the three points P = (4, -3, 5), Q = (-2, -3, 5), and R= (-2, 3, -3) is described by…

A:

Q: If the point A (4,3) and B(x,5) are on the circle with centre 0 (2,3). Find the Value of x

A:

Q: 2) Find the point of intersection of the plane x - 5y + 3z = -127 and the line r(t) = (-2,-8, 7)t +…

A:

Q: Determine which of the following points are in the plane 3(x − 2) + 2(y + 3) − 4(z − 4) = 0: (a) (0,…

A: To check whether the given points are in the plane or not, substitute given values in the equation…

Q: x(t) Find a plane containing the point (6,-4,4) and the line y(t) z(t) 3 + 3t -3+ t 6 + 3t

A: