Express the Vector as a Product of Its Length and Direction

question 194

Multiple Choice

Express the vector as a product of its length and direction.
- $\frac { 1 } { \sqrt { 6 } } \mathrm { i } + \frac { 1 } { \sqrt { 6 } } \mathrm { j } - \frac { 1 } { \sqrt { 6 } } \mathbf { k }$

• A) \(\frac { 1 } { 3 } \left( \frac { 3 } { \sqrt { 6 } } \mathbf { i } + \frac { 3 } { \sqrt { 6 } } \mathbf { j } - \frac { 3 } { \sqrt { 6 } } \mathbf { k } \right)\)
• B) \(\sqrt { \frac { 1 } { 2 } } \left( \frac { 1 } { \sqrt { 3 } } \mathbf { i } + \frac { 1 } { \sqrt { 3 } } \mathbf { j } - \frac { 1 } { \sqrt { 3 } } \mathbf { k } \right)\)
• C) \(\sqrt { \frac { 1 } { 2 } } \left( \frac { 1 } { \sqrt { 6 } } \mathrm { i } + \frac { 1 } { \sqrt { 6 } } \mathrm { j } - \frac { 1 } { \sqrt { 6 } } \mathbf { k } \right)\)
• D) \(\frac { 1 } { 6 } \left( \frac { 6 } { \sqrt { 6 } } \mathbf { i } + \frac { 6 } { \sqrt { 6 } } \mathbf { j } - \frac { 6 } { \sqrt { 6 } } \mathbf { k } \right)\)

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Definitions:

Arrogant

Having or revealing an exaggerated sense of one's own importance or abilities.

Hidden Negative

Subtle undesirable qualities or aspects that are not immediately obvious.

Developed

Refers to something that has been brought to a more advanced, elaborate, or refined state.

Contains

To have or hold something within a particular space or environment, often used in the context of documents or databases holding information.