CE 2450 Lecture : Students Week 1
Document Summary
The direction of a vector consists of its line of action and sense. A graphical representation of a vector is an arrow drawn to scale. Vector addition: vector algebra draws on graphical representation to incorporate the directional aspect, vector addition is limited to vectors only. To add two vectors (a and b) using the parallelogram law: Add the following vectors using the parallelogram law. Add the two vectors from the previous example using the triangle rule. Trigonometric rules: opposite hypotenuse adjacent hypotenuse sin = cos = tan = opposite adjacent. Law of sines a sin a b sin b c sin c. Law of cosines a 2 = b 2 + c 2 2 b c cos a. 2 = a 2 + c 2 2 a c cosb c 2 = a 2 + b 2 2 a b cosc. Collinear vectors are vectors with the same line of action.
