What Value of X Will Cause the Two Vectors $\langle 5 x , - 1,2 \rangle$

question 74

Multiple Choice

What value of x will cause the two vectors $\langle 5 x , - 1,2 \rangle$ and $\langle 3,2 x , - 2\rangle$ to be orthogonal?

• A) \(- \frac { 17 } { 4 }\)
• B) \(- \frac { 4 } { 17 }\)
• C) \(\frac { 13 } { 4 }\)
• D) \(- \frac { 13 } { 4 }\)
• E) \(\frac { 17 } { 4 }\)
• F) \(\frac { 4 } { 17 }\)
• G) \(- \frac { 4 } { 13 }\)
• H) \(\frac { 4 } { 13 }\)

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Definitions:

Factory Overhead Rates

A calculation used in manufacturing to allocate indirect costs, like utilities and salaries, to products.

Machine Hours

A measure of the amount of time a machine is operated, used as a basis for allocating manufacturing overhead costs to products.

Direct Labor Hours

The total hours of work directly involved in the production of goods, often used in costing and operational efficiency analysis.

Materials Handling

The movement, protection, storage, and control of materials and products throughout manufacturing, warehousing, distribution, consumption, and disposal.