Let a and B Be Vectors $\mathbf { a } \times \mathbf { b } = \mathbf { b } \times \mathbf { a }$

question 13

Essay

Let a and b be vectors. Under what conditions is $\mathbf { a } \times \mathbf { b } = \mathbf { b } \times \mathbf { a }$ ? When is $( 2 \mathbf { a } ) \times ( 3 \mathbf { b } ) = 6 ( \mathbf { a } \times \mathbf { b } )$ ?

---

Definitions:

Machine-Hours

An indicator of the amount of work produced or activity level, determined by how many hours equipment is running.

Plantwide Predetermined Overhead Rate

A single overhead rate calculated by dividing total estimated manufacturing overhead costs by an estimated allocation base for the entire factory, often used in simpler costing systems.

Job-Order Costing System

An accounting system that assigns costs to specific jobs or batches of goods, typically used in manufacturing or service industries where each job is unique.

Direct Labor-Hours

A measurement of the time workers spend directly manufacturing a product, often used to allocate manufacturing overhead.