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 Let D be the plane defined as D: 8x + 5y + z = 13. Suppose that • Lis parallel to D. • The distance between L and D is v90. i) Find b. ii) Find the set of all values of a.

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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.