BSNS102 Study Guide - Final Guide: Parallel Projection, Unit Vector

• School: University of Otago
• Department: Business Studies
• Course: BSNS102
• Professor: Drew Stelljes

Document Summary

Lengths increase or decrease uni- formly by a factor of k, areas by a factor of k2, and volumes (in 3d) by a factor of k3. If we wish to stretch or squash the object, we can apply different scale factors in different directions, resulting in non-uniform scale. Lengths, areas, and volumes are adjusted by a factor that varies according to the orientation relative to the direction of scale. If |k| < 1, then the object gets shorter in that direction. If |k| > 1, then the object gets longer. If k = 0, then we have an orthographic projection. We will discuss orthographic projection in sec- tion 8. 4. If k < 0, then we have a reflection. For the remainder of this section, we will assume that k > 0. Applying non-uniform scale has an effect very similar to shearing (see section 8. 6). In fact, it is impossible to distinguish between shearing and non-uniform scale.