Let a and b be real numbers.Let L be the line defined as L: x = 6 – 6t, y =-11+t, z= a + bt, t e RLet D be the plane defined as D : 6x + 4y + z = 10.Suppose that• L is parallel to D.• The distancetween L and D is V53.i) Find b.ii) Find the set of all values of a. о) 32, i) {71, -35}о) 32, i) {71}о) 32, i) (-35}о) 32, i) {62, -44)о) 14, i) {71, -35}О)) 14, i) {62, -44)о) 14, i) (62}о) 14, i) {-44)

Given that L be the line defined as L : x=6-6t, y=-11+t, z=a+bt, t∈ℝ where a,b∈ℝ…

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.

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.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter1: Line And Angle Relationships

Section1.4: Relationships: Perpendicular Lines

Problem 27E

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Concept explainers

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.

Question

Let a and b be real numbers.
Let L be the line defined as L: x = 6 – 6t, y =-11+t, z= a + bt, t e R
Let D be the plane defined as D : 6x + 4y + z = 10.
Suppose that
• L is parallel to D.
• The distance
tween L and D is V53.
i) Find b.
ii) Find the set of all values of a.

о) 32, i) {71, -35}
о) 32, i) {71}
о) 32, i) (-35}
о) 32, i) {62, -44)
о) 14, i) {71, -35}
О)) 14, i) {62, -44)
о) 14, i) (62}
о) 14, i) {-44)

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