Line L has the equation (2,-2,0) + t (2,2,2) Sphere S is centered at origin (O) with equation x2+y2+z2=10.   1) Find the 2 points where L intersects S.   2) Find the angle between vectors OP and OQ. 3) Calculate the equation of the plane which contains O, P, and Q. Calculate the area of triangle with vertices O,P and Q

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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.