To find lengths and angles of a vectors in the space.

Description
The angle of a triangle in the space is calculated using the dot product of vectors. Length of a vector is calculated and represented mathematically. Addition of two vectors are shown. Multiplication of a vector by a scalar is defined and analysed. Subtraction of vectors is reviewed. Equation of a plane is discussed with the help of geometrical diagram.
Prof. Denis Auroux, Maths, 18.02, Multivariable Calculus, Fall 2010: 3: Uses of the Dot Product: Lengths and Angles: Massachusetts Institute of Technology: MIT OpenCourseWare),http://ocw.mit.edu (Accessed October 31, 2011). License: Creative Commons BY-NC-SA:http://ocw.mit.edu/terms/#cc