Solve the Problem $\mathrm { P } = ( - 6 , - 9 )$

question 93

Multiple Choice

Solve the problem.
-If $\mathrm { P } = ( - 6 , - 9 )$ and $\mathrm { Q } = ( \mathrm { x } , - 105 )$ , find all numbers $\mathrm { x }$ such that the vector represented by $\overrightarrow { \mathrm { PQ } }$ has length $- 120$ .

• A) \(\{ 66 , - 78 \}\)
• B) \(\{ 78 , - 78 \}\)
• C) \(\{ 66 , - 84 \}\)
• D) \(\{ 78,66 \}\)

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Definitions:

Splitting

A process or reaction where a larger molecule is divided into two or more smaller entities, often used in reference to nuclear fission or chemical decomposition.

NMR Spectrum

A technique used in chemistry to determine the structure of molecules by measuring the interaction of nuclear spins when placed in a magnetic field.

Splitting

In chemical terms, it refers to the division of a spectral line or a magnetic resonance signal into several components, often due to the interaction between different nuclei or external fields.

NMR Spectrum

A chart displaying the different frequencies at which nuclei in a molecule resonate in a magnetic field.