Find the Component Form of the Indicated Vector $\mathbf { u } = \langle 5 , - 1 \rangle , \mathbf { v } = \langle - 7,7 \rangle$

question 139

Multiple Choice

Find the component form of the indicated vector.
-Let $\mathbf { u } = \langle 5 , - 1 \rangle , \mathbf { v } = \langle - 7,7 \rangle$ . Find $3 u - 5 v$ .

• A) \(\langle - 20,32 \rangle\)
• B) \(\langle 12,0 \rangle\)
• C) \(\langle - 6 , - 30 \rangle\)
• D) \(\langle 50 , - 38 \rangle\)

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Definitions:

Isoquants

Curves on a graph that represent different combinations of factors of production that yield the same level of output.

Factors of Production

The inputs used in the production of goods or services in the process of creating economic value, typically including land, labor, capital, and entrepreneurship.

Isoquant

An isoquant is a curve that represents all the combinations of inputs that produce the same level of output in the production process.

Slope

In mathematics and economics, it is the measure of the steepness or incline of a line, often representing the rate of change between two variables.