Determine Whether $\mathbf { u } = 2 \sqrt { 3 } \mathbf { i } + 2 \mathbf { j }$

question 18

Essay

Determine whether $\mathbf { u } = 2 \sqrt { 3 } \mathbf { i } + 2 \mathbf { j }$
is orthogonal to $\mathbf { v } = \mathbf { i } - \sqrt { 3 } \mathbf { j }$
. Justify your answer.

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Definitions:

Chi-Squared Test

A statistical analysis conducted to assess whether there's a significant disparity between the anticipated frequencies and the actual frequencies across one or multiple categories.

P-Value

A measure that indicates the probability of observing the given data, or something more extreme, if the null hypothesis is true.

Contingency Table

A table often used in statistics to display frequencies for two or more categorical variables in a tabular form.

Qualitative Variables

Variables that describe or categorize attributes or qualities, not numbers.