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  • Analytic Geometry II
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  • ) define vector concept in the space.
  • interpret vector concept a view of geometry.
  • apply algebraic properties of vectors in exercises.
  • interpret dot product of two vectors a view of geometry in the space.
  • interpret cross product of two vectors a view of geometry in the space.
  • ) translate equations of line in the space.
  • express equation of the line given a point and direction.
  • describe equation of the line given two the points.
  • identify condition of perpendicular or parallel of two the lines.
  • express equation of the line that pass through a point and perpendicular to two lines.
  • ) translate equations of plane in the space.
  • express equation of the plane that passes through a point and is given perpendicular to the line.
  • describes equation of the plane determined by three points.
  • expresses equation of the plane that passes through a point and is perpendicular to two directions.
  • ) analyse many problems related to a line and plane in the space.
  • calculate distance from a point to a line
  • calculate distance from a line to a line
  • calculate distance from a point to a plane.
  • ) define conics in the space.
  • formulate equation of surfaces on cartesian coordinates.
  • locate any surface.
  • express intersection curve of two surfaces.
  • explain a sphere.
  • express a cylinder.
  • define an ellipsoid.
  • express hyperboloid of one and two sheets.
  • express an elliptic paraboloid.
  • interpret intersection of the conics with plane a view of geometry.

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