Three Vectors $\overrightarrow { \mathrm { S } }$ $\overrightarrow { \mathrm { T } }$

question 148

Multiple Choice

Three vectors, $\overrightarrow { \mathrm { S } }$ , $\overrightarrow { \mathrm { T } }$ , and $\overrightarrow { \mathrm { U } }$ , have the components shown in the table. What is the magnitude of the resultant of these three vectors? $\begin{array} { | c | c | c | } \hline & x \text { component } & y \text { component } \\\hline \overrightarrow { \mathrm { S } } & & \\& 3.50 \mathrm {~m} & - 4.50 \mathrm {~m} \\\hline \overrightarrow { \mathrm { T } } & & \\& 2.00 \mathrm {~m} & 0.00 \mathrm {~m} \\\hline \overrightarrow { \mathrm { U } } & & \\& - 5.50 \mathrm {~m} & 2.50 \mathrm {~m} \\\hline\end{array}$

• A) 5.50 m
• B) 13.0 m
• C) 11.1 m
• D) 7.00 m
• E) 2.00 m

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Definitions:

Fixed Costs

Unvarying costs that do not fluctuate with changes in production or sales levels, such as office rent, staff wages, and insurance coverage.

Break-Even Point

The point where the amount produced or sold matches the overall expenses, leading to neither a profit nor a loss.

Contribution Margin

A profitability metric that calculates the amount of revenue remaining after deducting variable costs, used to cover fixed costs and generate profit.

Selling Price

The amount of money for which a product or service is offered for sale to customers.