BSNS102 Study Guide - Final Guide: Unit Vector, Commutative Property, Scalar Multiplication

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

Document Summary

The area of a rectangle is given by its length and width. In this case, the area is the product bh. Since the area of the rectangle is equal to the area of the parallelogram, the area of the parallelo- gram must also be bh. Let a and b be the lengths of a and b, respectively. If either a or b is parallel, or if a or b is the zero vector, then a b = 0. The cross product interprets the zero vector as being parallel to every other vector. We have stated that a b is perpendicular to a and b. But there are two directions that are per- pendicular to a and b. We can determine the direction of a b by placing the tail of b at the head of a and examining whether we make a clock- wise or counterclockwise turn from a to b.