Find a Nonzero Vector Orthogonal to the Plane Through the Points

question 34

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:

Budget Variance

The difference between what was budgeted for and what was actually spent or received.

Volume Variance

The difference between the planned level of production volume and the actual production volume, often relating to overhead costs.

Predetermined Overhead Rate

The rate used to assign overhead costs to products or services based on a predetermined formula.

Fixed Component

The portion of total costs that remains constant, regardless of changes in activity level.