Find a Nonzero Vector Orthogonal to the Plane Through the Points

question 39

Multiple Choice

Find a nonzero vector orthogonal to the plane through the points $P , Q$ , and $R$ .
$$P ( 1,0,0 ) , Q ( 7,8,0 ) , R ( 0,8,1 )$$

• A) \(\mathbf { i } - 7 \mathbf { j } + 8 \mathbf { k }\)
• B) \(- 7 \mathbf { i } + \mathbf { j } + 8 \mathbf { k }\)
• C) \(\mathbf { i } - 8 \mathbf { j } + 7 \mathbf { k }\)
• D) \(8 \mathbf { i } - 6 \mathbf { j } + 56 \mathbf { k }\)
• E) None of these

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Definitions:

Systematic Observations

Observational methods that are structured and organized in a consistent manner to collect data about behavior or phenomena.

Dependent Variable

The variable in an experiment that is expected to change in response to manipulations of the independent variable.

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A professional who studies and analyses processes related to education and learning methodologies, aiming to improve educational systems and outcomes.

Positive Correlation

A relationship between two variables where an increase in one variable is associated with an increase in the other.