A Collection of Problems in Analytical Geometry

Three-Dimensional Analytical Geometry

D. V. Kletenik, W. J. Langford, E. A. Maxwell, W. J. Langford, E. A. Maxwell

• Publisher: Pergamon
• Year: 2016
• ISBN:
  9781483155920
• Topic: Mathematics
• Subtopic: Analytic Geometry
• Index: Mathematics

A Collection of Problems in Analytical Geometry, Part II: Three-Dimensional Analytical Geometry is a collection of problems dealing with analytical geometry in the field of theoretical mechanics. The book discusses rectangular Cartesian coordinates in three-dimensional space and the division of an interval in a given ratio. The sample questions concern problems dealing with isosceles triangles, vertices, and center of gravity of equal masses. The book defines the concept of a vector and then lists problems concerning the triangle law and the scalar product of two vectors. Other problems focus on the equations of a surface and a curve and on questions related to the intersection of three surfaces. The text lists other problems such as the equation of a plane, the direction-vector of a straight line, and miscellaneous problems pertaining to the equations of a plane, of a straight line, and of a sphere in a direction-vector. The selection is useful for professors in analytical geometry and for other courses in physic-mathematics and general engineering.