Let a and b be real numbers. Let L be the line defined as L: x = 7 – 7t, y = -13 + t, z= a + bt, teR Let D be the plane defined as D : 6x + 4y + z = 10. Suppose that • Lis parallel to D. • The distance between L and D is V53. i) Find b. ii) Find the set of all values of a.

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Q: Let a and b be real numbers. Let L be the line defined as L: æ = 6 – 6t, y = -11+t, z=a + bt, te R…

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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.