Solve the problem. Find the point on the plane x + 2y - z = 12 that is nearest the origin. Lütfen birini seçin: O A. (2, 4, 0) O B. (-2, 8, 2) OC (2, 4, -2) O D. (4, 4, 0)

Q: nd the distance from the point to the plane.   (3,3,8)​, 7y+3

A: Given, the equation of plane is                                       7y+3z=0and  point (3, 3, 8)

Q: Find the point, P, at which the line intersects the plane. x= - 3+ 10t, y = 9- 9t, z= 9- 7t; - 10x +…

A: The objective is to find the point of P, at which the line intersects the plane.

Q: .Find the equation and sketch the plane that contains the points (2, 6, 1), (-4, 9, -1) and (4, 3,…

A: Equation of plane is 3x+2y+6z = 12

Q: Given = (8,−4,1) + t(4, 4, −2), find the point where the line intersects the plane with equation z +…

A:

Q: 9. Find the equation for the plane through Po(-2,3,9) perpendicular to the line x = -2 – t, y = -3 +…

A:

Q: Find the distnace between the point and the plane. (2,8,4) 2x + y + z = 5

A: We know, The distance from (p,q,r) to the plane ax+by+cz+d=0 is  a.p+b.q+c.r+da2+b2+c2

Q: Find the values of x and y in the parallelogram when AB = x-72, CD--x, m-D=(oy+ ) mLB= 157. %3D D. A…

A:

Q: The equation of the plane which is parallel to y -axis and cuts off intercepts of length 2 and 3…

A:

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

A:

Q: 3) Find the distances: a. Between ₁ = (3 + t, −2+ 3t, -t) and 1₂ = (1 + 2t, t, 5+ 4t). b. Between…

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

Q: 2. Which of the following points lie on the plane 11x-2y-4z + 2 = 0 A) (4, 2, 6) B) (11,2,-4) C) (4,…

A:

Q: You are given the following points: A=(−4,20,16)A=(−4,20,16), B=(20,0,7)B=(20,0,7),…

A: Given- (x,y,z) coordinates of three points :A =(-4,20,16) B=(20,0,7) C=(8,-15,-19) to find- closest…