6 cyrinder n= 4-y? bounded b n 0 dinate plane Z-y Plane L12 =2 4. ス4ーyン

Q: Q5/ Find the volume of the Tetrahedron that is determined by three edge vectors â = [1, 0.-3), 5=…

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Q: A variable plane pes through a fixed point (a, b, c) and meets the uses at A, B and C. Show that the…

A: Given that a variable plane passes through a fixed point (a, b, c) and meets the uses at A, B, and…

Q: For what values of Care the planes 3x+z=5 and 8x-y+Cz=9 orthogonal?

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Q: Rectangles ABCD and A'B'C'D' are shown on the coordinate plane. Which algebraic representation shows…

A: We are given the following figure. Here, rectangles ABCD and A'B'C'D' are shown on the coordinate…

Q: Which of the following is the equation of the plane that is passing through the point P(2, 2,–2) and…

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Q: How.s Find (x=-6+ut ysa7+34sZ=-l)_atx =2rfarallel to the line (x=1 y=-4+2t ,z2636)and containr the…

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Q: Write the intersection of plane UVYZ and plane SVWZ? T.

A: given figure is pointed by vertices S, T, U, V, W, X, Y, Z

Q: Find the equation of the plane through the line of intersection of the planes x+y+z=1 and…

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Q: 1. Draw the translation of the triangle HOT six units left and one unit down. Label the image the…

A: Since we are given with multiple number of questions and answer will according to the guideline.

Q: Enter any point on the plane 6x + 5y + 5z = 18

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Q: A variable plane pes through a fixed point (a, b, c) and meets the uses at A, B and C. Show that the…

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Q: Q2/ Find the area of the parallelogram of the plane of P(0,-2,3), Q(-1 , 2, 1) and C(3,3,0) where P…

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Q: Find a plane containing the point (5,-2,8) and the line of intersection of the planes 7x+6y-z = 27…

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Q: The plane given by x + y + 2z = 0 and the line given by x = 2 + t y = 1 - 2t z = 3 + t

A: The plane given by x + y + 2z = 0 and the line given by x = 2 + t;  y = 1 - 2t ;  z = 3 + t To find…

Q: ane with the equation + + = 1 (a, b, c > 0) together with the positive coordinate planes forms a…

A: In this question, concept of optimization is applied. Optimization Mathematical optimization is the…

Q: 7. Describe and sketch the surface in R³ represented by the equa- tion x + y = 2.

A: Answer given below.

Q: What is the distance between the point (4,-&, 1) and the plane 5x-z= 2y+5?

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Q: If a? + b² + c² =1, then the distance from P (x0, y0, z0) to the plane ax + by + cz = 0 is |. |.…

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Q: Which one of the points P(6, 9, -3), Q(8, -2, -8), R(-5, 8, 1) in 3-space is closest to the…

A: We have to find closest point to the xz plane from given points P, Q and R. Topic:- 3D vector.

Q: Q3/ Find the plane determined by the interseetiny Lines L X=1-2t, , 3-st,,そニ-2+t, La.Xe-3+t2)…

A: To find equation of plane we need to first find point and direction ratio of lines. Then find…

Q: Find the envelope of the plane y Z b + u X a + u + + c + u = 1

A: Given Data: Let us consider the given, xa+u+yb+u+zc+u=1 To Find: The envelope of the plane.