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, -2, -11) D) (2, 4, 4) E) (0, 2, 4)

Q: 1. Find an equation of the plane that passes through the points (-1, 3, -3), (4, 1, 2), and (8, 2,…

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Q: 8. Find the point (x. y) such that (1, 3) is the midpoint of the line segment connecting a. (x, y)…

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A: Since plane passes through the given points therefore

Q: 7. a) Find the equation of the plane passes through the point P(1,2,-1), perpendicular to…

A: We have to solve given problems:

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A: In projective geometry over a finite field, such as , we can find the line that contains two points…

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Q: The equation of the plane that passes through the points (1, -2,1), (-1, -1,7) and (2, -1,3) is :

A:

Q: Given the points A=(3,-5,-2), B=(7,-1,1) and C=(-1,-1,4), the equation of the plane containing the…

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

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

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Q: Which point(s) lie in the plane 2x + y - z = 10? a) (0, 0, 10) c) (2, 4, - 2) b) (5, 3, - 3) d) (-3,…

A: Given:plane: 2x+y-z=10

Q: The plane through the points (-1,-2,-2), (-5,-3,2), (-5,2,7) has equation Ax + By + Cz = D. If A = -…

A: A = -25 B = 20 C = -20 D= 25  For detail....go through the solution.... You can solve this problem…

Q: Q4-Find the Cartesian equation of the line that passes through the point (-3, 2,-1) and is parallel…

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Q: What are the projections of the point (−2, 3, 4) on the xy-, xz-, and yz-planes? Draw a picture and…

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Q: Prove that three points P(5,-4), Q(-3,8) and R(1,2) on the rectangular coordinate plane are…

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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: 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: Let A:(-1, 1, –1), B:(2,0, 2), C:(4, 1, –3), and D:(-3, 1, 10) be points in R. (a) Find the angles…

A: Since you have posted a question with multiple sub-parts, we will solve only first three sub-parts…

Q: 25. Determine the x- and y-intercepts. a) [x, y] = [2, –4] + t[3, –1] b) [x, y] = [-8, 11] + t[5, 2]…

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Q: Find the distance between each pair of points: с) (-4, 1) and (4, 5) d) (x — 2, у —3) and (х + 4, у…

A: Distance between two points Ax1, y1 and Bx2, y2 is, AB=x2-x12+y2-y12

Q: 4. Find the equation of the plane through the given points. (a) (1,1,2), (0, 0, 1), and (-2, -3,0).…

A: We have to find equation of plane passing through given points in part a) and part b) Concept…