- $\mathrm { P } _ { 1 } ( - 2,8 , - 1 )$

question 40

Multiple Choice

$\text { Calculate the direction of } \overrightarrow { P _ { 1 } P _ { 2 } } \text { and the midpoint of line segment } P _ { 1 } P _ { 2 } \text {. }$
- $\mathrm { P } _ { 1 } ( - 2,8 , - 1 )$ and $\mathrm { P } _ { 2 } ( 0,2,2 )$

• A) \(\frac { 2 } { \sqrt { 7 } } \mathbf { i } + \frac { 8 } { \sqrt { 7 } } \mathbf { j } + \frac { 1 } { \sqrt { 7 } } \mathbf { k } ; \left( - 1,4 , - \frac { 1 } { 2 } \right)\)
• B) \(\frac { 2 } { 7 } \mathbf { i } - \frac { 6 } { 7 } \mathbf { j } + \frac { 3 } { 7 } \mathbf { k } ; ( 0,1,1 )\)
• C) \(\frac { 2 } { 7 } \mathbf { i } - \frac { 6 } { 7 } \mathrm { j } + \frac { 3 } { 7 } \mathbf { k } ; \left( - 1,5 , \frac { 1 } { 2 } \right)\)
• D) \(\frac { 2 } { \sqrt { 7 } } \mathbf { i } - \frac { 6 } { \sqrt { 7 } } \mathbf { j } + \frac { 3 } { \sqrt { 7 } } \mathbf { k } ; \left( - 1,5 , \frac { 1 } { 2 } \right)\)

---

Definitions:

Carbon Atoms

The fundamental building blocks of organic molecules, known for forming a vast number of compounds due to their ability to form stable bonds with themselves and other elements.

Supramolecular Polymers

Large structures formed from the non-covalent joining of monomers, characterized by interactions such as hydrogen bonding or van der Waals forces.

Intermolecular

Relating to or involving forces between molecules, affecting properties like boiling and melting points.

Hydrogen Bonds

An unstable linkage between two molecules due to the electrostatic force acting between a proton in one molecule and an electronegative atom in the other.