BSNS102 Study Guide - Final Guide: Unit Vector, Linear Algebra, Global Positioning System
28 Jan 2021
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A few notes: n when we multiply a vector and a scalar, we do not use a multiplication symbol. The multipli- cation is signified by placing the two quantities side by side (usually with the vector on the right). n scalar-times-vector multiplication and division both occur before any addition and subtrac- tion. Geometrically, multiplying a vector by a scalar k has the effect of scaling the length by a factor of. For example, to double the length of a vector, we would multiply the vector by 2. If k < 0, then the direction of the vector is flipped. Figure 5. 4 illustrates a vector multiplied by several different scalars. Figure 5. 4: a 2d vector multiplied by various scalars. For many vector quantities, we are concerned with direction and not magnitude. Which way am i facing? in these cases, it is often convenient to use unit vectors. A unit vector is a vector that has a magnitude of 1.
