Vectors $$\overrightarrow { \mathrm { A } }$$ And $$\vec { B }$$

question 49

Multiple Choice

Vectors $$\overrightarrow { \mathrm { A } }$$ and $$\vec { B }$$ have equal magnitudes.Which statement is always true?

• A) \[\overrightarrow { \mathbf { A } } + \overrightarrow { \mathbf { B } } = 0\] .
• B) \[\overrightarrow { \mathbf { A } } - \overrightarrow { \mathbf { B } } = 0\] .
• C) \(\overrightarrow { \mathbf { A } } - \overrightarrow { \mathbf { B } }\) is perpendicular to \(\overrightarrow { \mathrm { A } } + \overrightarrow { \mathrm { B } }\) .
• D) \(\overrightarrow { \mathrm { B } } - \overrightarrow { \mathrm { A } }\) is perpendicular to \(\overrightarrow { \mathbf { A } } - \overrightarrow { \mathbf { B } }\) .
• E)The magnitude of \(\overrightarrow { \mathbf { A } } - \overrightarrow { \mathbf { B } }\) equals the magnitude of \(\overrightarrow { \mathrm { A } } + \overrightarrow { \mathrm { B } }\) .

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Definitions:

Standard Deviation

A statistic that measures the dispersion or variability of a dataset relative to its mean, indicating how spread out the data points are.

Margin Of Error

The range within which the true value lies in statistical sampling, with a certain level of confidence.

Confidence Intervals

A span of numbers that predicts the actual value of a population statistic within a certain confidence level.

Margin Of Error

An expression of the amount of random sampling error in a survey's results, defining a range within which the true population parameter is expected to lie.