Find the Vector V That Has a Magnitude of 9 $\mathbf { u } = \langle 6 , - 5 \rangle$

question 127

Multiple Choice

Find the vector v that has a magnitude of 9 and is in the same direction as u, where $\mathbf { u } = \langle 6 , - 5 \rangle$ .

• A) \(\mathbf { v } = \left\langle \frac { 5 \sqrt { 61 } } { 61 } , - \frac { 6 \sqrt { 61 } } { 61 } \right\rangle\)
• B) \(\mathrm { v } = \left\langle \frac { 45 \sqrt { 61 } } { 61 } , - \frac { 54 \sqrt { 61 } } { 61 } \right\rangle\)
• C) \(\mathbf { v } = \left\langle \frac { \sqrt { 61 } } { 61 } , - \frac { \sqrt { 61 } } { 61 } \right\rangle\)
• D) \(\mathbf { v } = \left\langle \frac { 6 \sqrt { 61 } } { 61 } , - \frac { 5 \sqrt { 61 } } { 61 } \right\rangle\)
• E) \(\mathbf { v } = \left\langle \frac { 54 \sqrt { 61 } } { 61 } , - \frac { 45 \sqrt { 61 } } { 61 } \right\rangle\)

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Definitions:

Standard Deviation

A statistical measure of the dispersion or variability within a set of numerical data, indicating how much individual data points differ from the mean.

Mode

The most frequent score.

Median

The median is a measure of central tendency that divides a data set into two equal halves, representing the middle value when the data set is ordered.

Normal Distribution

A distribution of scores in which most people score in the middle and fewer score at the extremes; also known as a “bell curve.”