Find the Component Form of V Given Its Magnitude and the Angle

question 149

Multiple Choice

Find the component form of v given its magnitude and the angle it makes with the positive x-axis.
$\begin{array}{lr}\text { Magnitude}&\text { Angle }\\\|\mathbf{v}\|=6&45^o\end{array}$

• A) \(\langle - 3 \sqrt { 2 } , 3 \sqrt { 2 } \rangle\)
• B) \(\langle - 3 \sqrt { 2 } , - 3 \sqrt { 2 } \rangle\)
• C) \(\langle 3,3 \rangle\)
• D) \(\langle 3 \sqrt { 2 } , 3 \sqrt { 2 } \rangle\)
• E) \(\langle 3 \sqrt { 2 } , - 3 \sqrt { 2 } \rangle\)

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Definitions:

Significance Level

The significance level, often denoted as alpha, is the probability of rejecting the null hypothesis in a statistical test when it is actually true, representing the risk of a type I error.

Type I Error

The error made when a true null hypothesis is incorrectly rejected, often referred to as a "false positive."

P Value

The probability of obtaining test results at least as extreme as the results actually observed, assuming that the null hypothesis is true.

Confidence

The degree of certainty or trust in a statistical or experimental result, often expressed as a confidence interval or level.