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

---

Definitions:

Finite Intangible Asset

An intangible asset that has a specific life span after which its value diminishes or becomes null.

Amortized

The process of paying off a debt or loan in regular installments over a set period of time, which includes both principal and interest.

Goodwill

An intangible asset that arises when a company acquires another business for more than the fair value of its net identifiable assets.

Entire Business

Refers to the complete scope or operation of a company, encompassing all its functional areas and activities.