Express the Vector as a Product of Its Length and Direction

question 197

Multiple Choice

Express the vector as a product of its length and direction.
- $$- 2 \mathbf { i } - 8 \mathbf { j } + \frac { 8 } { 3 } \mathbf { k }$$

• A) \(\frac { 26 } { 3 } ( - \mathbf { i } - \mathrm { j } + \mathbf { k } )\)
• B) \(\frac { 26 } { 3 } \left( - \frac { 3 } { 13 } \mathbf { i } - \frac { 12 } { 13 } \mathbf { j } + \frac { 4 } { 13 } \mathbf { k } \right)\)
• C) \(\frac { 676 } { 9 } \left( - \frac { 3 } { 13 } \mathbf { i } - \frac { 12 } { 13 } \mathbf { j } + \frac { 4 } { 13 } \mathbf { k } \right)\)
• D) \(\frac { 3 } { 26 }\)

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Definitions:

Iron

A chemical element with symbol Fe and atomic number 26, known for its high strength and magnetic properties.

Limiting Reactant

The reactant in a chemical reaction that limits the amount of product that can be formed because it is used up first.

Theoretical Yield

The maximum amount of product that can be generated from a given amount of reactants in a chemical reaction, under ideal conditions.

Limiting Reactant

The reactant in a chemical reaction that limits the amount of product that can be formed; the reaction stops when all of this reactant is consumed.