Determine Whether $\mathbf { u }$ And $\mathbf { v }$ Are Parallel, Orthogonal, or Neither

question 52

Multiple Choice

Determine whether $\mathbf { u }$ and $\mathbf { v }$ are parallel, orthogonal, or neither.
$$\mathbf { u } = \langle - 1,6 , - 3 \rangle , \mathbf { v } = \langle - 3,18 , - 9 \rangle$$

• A) parallel
• B) orthogonal
• C) neither

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Definitions:

Shutdown Point

The level of output and price at which a firm's total revenue is equal to its total variable costs, below which the firm will decide to cease production in the short run.

Break-even Point

The point at which total costs and total revenue are equal, meaning there is no net loss or gain.

Long-run Supply Curve

A graphical representation showing the relationship between the price level and the quantity of output that producers are willing to supply, taking into account all factors of production can be varied.

Profitable Output

The production or output level from a business operation that generates a financial gain or profit.