Let a and b be real numbers. Let L be the line defined as L : x = 6 – 6t, y= -11+t, z = a + bt, teR Let D be the plane defined as D : 6x + 4y + z = 10. Suppose that • L is parallel to D. • The distance between L and D is V53. 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, te R…

A: Here we will evaluate required values.

Q: (0,1,1) to the line of intersection of the planes : x + 2y + z = 1 x - y + 2z = -8

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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: Let a and b be real numbers. Let L be the line defined as L:x = 6 – 6t, y = -11+t, z= a+ bt, teR %3D…

A: Since solve the first question for you. If youwant any specific question to be solved then please…

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: 30 0= +시 +씨 2 |and 3x-y-z=3 -8/

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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: Find the distance from the point Q= (2,2,2) to the line of intersection of the planes x+y+z=1 and…

A: Distance from the point Q(2,2,2) to the line of intersection of planes x + y + z = 1 and x + y = 2

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: Find the line of intersection between the lines: +1 and +.

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: ind the line of intersection of the planes x+y+z=1 and y+z=0

A: The given planes are x+y+z=1 and y+z=0. It is required to find the equation of line of intersection.…

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.