Choose the One Alternative That Best Completes the Statement or Answers

question 90

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
Find the requested vector.
- $$\mathbf { v } = 4 \mathbf { i } + 2 \mathbf { j } + \mathbf { k } , \quad \mathbf { u } = - 2 \mathbf { i } + 2 \mathbf { j } - 2 \mathbf { k }$$
Find a vector orthogonal to both $\mathbf { v }$ and $\mathbf { u }$ .

• A) \(- 5 i + 9 j + 2 k\)
• B) \(5 \mathbf { i } - 9 \mathbf { j } + 9 \mathbf { k }\)
• C) \(4 \mathrm { i } - 12 \mathrm { j } - 16 \mathrm { k }\)
• D) \(- 6 i + 6 j + 12 k\)

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Definitions:

Positive Correlation

A relationship between two variables where both variables move in the same direction, meaning as one variable increases, the other also increases.

Time Management

The process of organizing and planning the best way to divide one's time among various activities to achieve efficiency and goals.

Spearman's Rank

A non-parametric method used to measure the strength and direction of the association between two ranked variables.

Ordinal

A type of qualitative data that represents categories with a meaningful order or ranking, but without a precise mathematical difference between them.