Let a and b be real numbers. Let L be the line defined as L:x = 8 – 8t, y= -15 +t, z=a+ bt, teR Let D be the plane defined as D: 4x + 3y + z = 7. Suppose that • Lis parallel to D. • The distance between L and D is V26. i) Find b. ii) Find the set of all values of a.

Q: Let a and b be real numbers. Let L be the line defined as L:z = 5 - 5t, y= -9+t, z = a + bt, tER Let…

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Q: Let a and b be real numbers. Let L be the line defined as L:x= 5-5t, y= -9+ t, z=a+bt, t e R Let D…

A: Solve by  formula of 3D geometry

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

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Q: Use the applet to translate quadrilateral ABCD 2 units left to create quadrilateral A'B'C'D', then…

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Q: L is parallel to D. The distance between L and D is /53.

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Q: 6. Find a plane with the P (3, – 4, 5) and contains the line L:= =*

A: It is given that plane passes through (3,-4,5) and the DR's of a given line is 2,-3,5.

Q: a) Explain fully, atleast three possible relationships between two lines in R3 [c3] b) Which of the…

A: (a) The relationship between any two lines in ℝ3 is always one of the following three: They can be…

Q: 30 0= +시 +씨 2 |and 3x-y-z=3 -8/

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Q: by the equations { L₁ : X Y Let L₁ and L2 be lines in a 3-dimensional space given { = = Z = 3 + 2t…

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Q: uppose that L is parallel to D. The distance between L and D is V90.

A: b=59 a=114

Q: Let a and b be real numbers. Let L be the line defined as L : x = 7 – 7t, y = -13 +t, z = a + bt,…

A: Given :- parametric equation of line L and equation of plane D. Also given that L and D are parallel…

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: Let 9 -15 ------ 12 V2 = -6 h = V1 = -3 3 1 - 2 For what value of h is y in the plane spanned by v₁…

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Q: Let a and b be real numbers. Let L be the line defined as L: 3- 3t, y =-5+ t, z= a+ bt, teR Let D be…

A: Given :- parametric equation of a line L and equation of a plane D are given. Also L and D are…

Q: b) Find the intersection point of the line Lix-1.y-3+t, z4+2t with xz-plane.

A: Here we have given equation of line and we have to find the point of intersection of given line with…

Q: Find and describe the intersection of the following line and plane: T:2x+3y-4z =-7 and r = (4,2,5)…

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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,…

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Q: Let a and b be real numbers. Let L be the line defined as L :z = 5 – 5t, y = -9 + t, z=a + bt, teR…

A: The symmetric form of a line in 3d space can be written as x-x0a=y-y0b=z-z0c . The general form of a…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.