GNG 1105 Lecture Notes - Lecture 4: Pythagorean Theorem, Unit Vector

• School: University of Ottawa
• Department: General Engineering
• Course: GNG 1105
• Professor: Martin Noel

Document Summary

F can be broken up into unit vector components. We can separate f into its components: xz plane. 2. 12 rectangular components of a force in space. Let f represent a force (x,y,z) acting on the origin o: The plane that f lies on passes through the y-axis with the xy plane. The direction of f within the plane is defined by. By subbing the second equation into the first, we can evaluate the magnitude of f using this formula: Its orientation is defined by the angle it forms that it forms with the y-axis. But can still be resolved to two components on the. Therefore, we resolved the given force f into three components: Additionally, we can use the angles between f and the x,y, and z axes, to where the formula above, and from we can find the direction cosines. The co(cid:373)po(cid:374)e(cid:374)ts of a(cid:396)e e(cid:395)ual to the di(cid:396)ectio(cid:374) cosi(cid:374)es of the li(cid:374)e of actio(cid:374) of f.