A Vector $\overrightarrow { \mathrm { A } }$ Is Added To

question 18

Multiple Choice

A vector $\overrightarrow { \mathrm { A } }$ is added to $\overrightarrow { \mathbf { B } } = 6 \hat { \mathbf { i } } - 8 \hat { \mathbf { j } }$ .The resultant vector is in the positive x direction and has a magnitude equal to that of $\overrightarrow { \mathrm { A } }$ .What is the direction of $\overrightarrow { \mathrm { A } }$ ?

• A)74\(\degree\)
• B)100\(\degree\)
• C)-81\(\degree\)
• D)-62\(\degree\)
• E)106\(\degree\)

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Definitions:

Z

Often referred to as the Z-score, which is a statistical measure that describes a value's relationship to the mean of a group of values.

Normal Probability Distribution

A statistical function that describes all the possible values and likelihoods that a random variable can take within a given range, characterized by its bell-shaped curve, symmetric about the mean.

Standard Deviation

A statistical metric that quantifies the dispersion or variability of a dataset relative to its mean.

Mean

The average of a set of numbers, calculated by dividing the sum of the values by the number of values.