ENGG130 Lecture Notes - Lecture 4: Dot Product, Resultant Force, Commutative Property

• School: University of Alberta
• Department: Engineering, General
• Course: ENGG130
• Professor: Mustafa Gul

Document Summary

Engg 130 -lesson 4- 3d vectors, position and force vectors & dot product. We have a concurrent force system if lines of action from each of two or more forces pass through a common point. A position vector locates a point in space relative to another point (origin). Express each vector in cvn using unit vectors i. e. i, j, k. Add each vector"s x, y, z scalar components to get x, y, z scalar components of the resultant. Line of action: an infinitely long, invisible line which passes through both the tail and tip of a vector. For a concurrent force system, the resultant force is the vector sum of all the forces. Cartesian coordinate system helps us: express vectors in cvn locate points in space. A position vector locates a point in space relative to another point (sometimes origin) represented by the vector r. Position vectors and force vectors are not the same.