Find the Component Form and Magnitude of the Indicated Vector $P = ( - 4,8 ) , Q = ( - 3,13 ) , R = ( 3 , - 5 )$

question 218

Multiple Choice

Find the component form and magnitude of the indicated vector.
-Given that $P = ( - 4,8 ) , Q = ( - 3,13 ) , R = ( 3 , - 5 )$ , and $S = ( 7,0 )$ , find the component form and magnitude of the vector $\overrightarrow { \mathrm { PQ } } + 2 \overrightarrow { \mathrm { RS } }$ .

• A) \(\langle - 9 , - 15 \rangle , \sqrt { 3 \sqrt { 34 } }\)
• B) \(\langle 9,15 \rangle , 306\)
• C) \(( 5,10 \rangle , 5 \sqrt { 5 }\)
• D) \(\langle 9,15 \rangle , 3 \sqrt { 34 }\)

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Definitions:

Break-even Point

The point at which total costs equal total revenue, meaning that a business is neither making a profit nor incurring a loss.

Net Loss

The amount by which expenses exceed revenues over a specific period, indicating a negative financial performance.

Break-even Point

The financial stage at which total revenues equal total expenses, indicating that a business is neither making a profit nor incurring a loss.

Variable Expenses

Costs that change in proportion to the level of activity or volume of production.