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:

Response Variable

The variable in an experiment or statistical model that changes in response to the manipulation of the explanatory variable.

Explanatory Variable

A variable in statistical modeling that is posited to cause or influence changes in a response variable; also known as an independent variable.

Degrees Of Freedom

The number of independent values or quantities which can vary in the calculation without violating any constraints.

SSE

Stands for Sum of Squares due to Error, a measure used in statistics to quantify the variation within a data set.