Let a and b be real numbers. Let L be the line defined as L :x = 3 – 3t, y = -5+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 /26. 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: L is parallel to D. The distance between L and D is /53.

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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…

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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: 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.