Find the Magnitude and Direction Angle for the Following Vector $\langle 5 , - 9 \rangle$

question 302

Multiple Choice

Find the magnitude and direction angle for the following vector. Give the direction angle as an angle in [0°, 360°) rounded to the nearest tenth.
- $\langle 5 , - 9 \rangle$

• A) \(\sqrt { 106 } , 150.9 ^ { \circ }\)
• B) \(\sqrt { 106 } , 119.1 ^ { \circ }\)
• C) \(\sqrt { 106 } , 330.9 ^ { \circ }\)
• D) \(\sqrt { 106 } , 299.1 ^ { \circ }\)

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Definitions:

Multicollinearity

A situation in multiple regression models where one predictor variable in the model can be linearly predicted from the others with a substantial degree of accuracy, leading to difficulties in determining the separate effects of predictor variables.

Dependent Variable

The outcome variable in an experiment or study that researchers wish to explain or predict, which changes in response to the independent variable.

Explanatory Variables

Variables in a statistical model that are used to explain variations in the dependent variable; also known as independent variables.

Qualitative Predictor Variables

Variables that categorize or describe data based on attributes or qualities, such as gender, color, or type, which do not have a numerical value.