Find a Nonzero Vector Orthogonal to the Plane Through the Points

question 60

Multiple Choice

Find a nonzero vector orthogonal to the plane through the points $P , Q$ , and $R$ . Select the correct answer.
$P ( 1,0,0 ) , Q ( 5,4,0 ) , R ( 0,4,1 )$

• A) \(\mathbf { i } - 4 \mathbf { j } + 5 \mathbf { k }\)
• B) \(- 5 \mathbf { i } + \mathbf { j } + 4 \mathbf { k }\)
• C) \( i - 5 j + 4 k\)
• D) \(4 \mathbf { i } - 4 \mathbf { j } + 20 \mathbf { k }\)
• E) None of these

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Definitions:

Inspiratory Reserve Volume

The additional amount of air that can be inhaled after a normal inhalation, contributing to the total lung capacity.

Peak Expiratory Flow

A measure of the fastest speed at which a person can exhale air after a maximal inhalation, often used in diagnosing and monitoring asthma.

Tidal Volume

The volume of air moved into or out of the lungs during a normal breath at rest.

Residual Volume

The volume of air remaining in the lungs after a forceful exhalation.