The Lengths of Two Vectors a and B, and the Angle

question 25

Multiple Choice

The lengths of two vectors a and b, and the angle  between them, are given. Find the length of their cross product, $| \mathbf { a } \times \mathbf { b } |$ . $| \mathbf { a } | = 4 , \mathbf { b } \mid = 5 , \theta = 60 ^ { \circ }$

• A) \(20 \sqrt { 3 }\)
• B) \(10 \sqrt { 2 }\)
• C) \(10 \sqrt { 3 }\)
• D) \(10\)
• E) none of these

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Definitions:

Capital Item

Long-term assets or investments used in the production of goods and services, such as buildings, machinery, and equipment.

Machinery

Machines collectively or a system of devices that operate together to perform a particular task.

Urban Land

Urban land is designated areas in cities and towns used for residential, commercial, industrial, or recreational purposes.

Economic Rent

Represents the payment to an owner or factor of production in excess of the costs needed to bring that factor into production. In simpler terms, it's the extra income earned because of an owner's unique position or resource.