Find the Parametric Equation of the Plane Through the Point $\vec { r } ( t ) = ( 1 - 2 t ) \vec { i } + ( 5 + 2 t ) \vec { j } + ( 3 - 4 t ) \vec { k }$

question 17

Multiple Choice

Find the parametric equation of the plane through the point (5, 2, 2) and parallel to the lines $\vec { r } ( t ) = ( 1 - 2 t ) \vec { i } + ( 5 + 2 t ) \vec { j } + ( 3 - 4 t ) \vec { k }$ and $\vec { s } ( t ) = ( 3 - 4 t ) \vec { i } + 4 t \vec { j } + ( 4 - 2 t ) \vec { k }$
Select all that apply.

• A) \(x = 5 - 2 u - 4 v , y = 2 + 2 u + 4 v , z = 2 - 4 u - 2 v\)
• B) \(x = 5 - 2 u - 4 v , y = 2 + 2 u + 4 v , z = 2 + 4 u - 2 v\)
• C) \(x = 5 - 2 u + 4 v , y = 2 + 2 u - 4 v , z = 2 - 4 u + 2 v\)
• D) \(x = - 2 u - 4 v , y = 2 u + 4 v , z = - 4 u - 2 v\)
• E) \(x = 5 - 2 u - 4 v , y = 2 + 2 u + 4 v , z = 2 - 4 u - 2 v\).

Explain the distinction between order paper and bearer paper and the methods of their negotiation.

Comprehend the principles of the impostor rule, fictitious payee rule, and their exceptions.

Grasp the fundamentals of the shelter rule and its application in negotiable instrument transactions.

Understand the effects of fraud, forgery, and duress on the negotiation and enforceability of negotiable instruments.

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Definitions:

Eurobonds

International bonds issued in a currency other than the currency of the country or market in which it is issued.

Denominated

Used to describe the currency in which a financial transaction or investment is stated or valued.

Eurobonds

International bonds issued in a currency not native to the country where it is issued, allowing companies to raise capital in a foreign currency.

Bearer Form

A method of issuing securities whereby the certificate does not record the owner's name, making possession of the physical certificate equivalent to ownership of the security.