Use the Property of the Cross Product That $| \mathbf { u } \times \mathbf { v } | = | \mathbf { u } | | \mathbf { v } | \sin \theta$

question 112

Essay

Use the property of the cross product that $| \mathbf { u } \times \mathbf { v } | = | \mathbf { u } | | \mathbf { v } | \sin \theta$ to derive a formula for the distance d from a point P to a line l. Use this formula to find the distance from the origin to the line through (2, 1, -4) and (3, 3, -2).

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Definitions:

Purchases

The total amount of goods and materials acquired by a business for the purpose of resale or production during a specific accounting period.

Cost of Goods Sold

The costs directly linked to producing a company’s sold goods, encompassing labor and materials.

Periodic Inventory System

An inventory system where updates to the inventory records are made periodically, often at the end of an accounting period, rather than after each transaction.

Cost of Goods Sold

The direct costs tied to the production of goods sold by a company, including materials and labor.