Solve the Problem $\mathbf { v } = \frac { 1 } { 3 } \mathbf { i } + \frac { 1 } { 3 } \mathbf { j } - \frac { 1 } { 3 } \mathbf { k }$

question 98

Multiple Choice

Solve the problem.
-Find a vector of magnitude 9 in the direction opposite to the direction of $\mathbf { v } = \frac { 1 } { 3 } \mathbf { i } + \frac { 1 } { 3 } \mathbf { j } - \frac { 1 } { 3 } \mathbf { k }$ .

• A) \(9 \sqrt { 3 } \left( - \frac { 1 } { 3 } i - \frac { 1 } { 3 } j + \frac { 1 } { 3 } k \right)\)
• B) \(9 \sqrt { 3 } \left( \frac { 1 } { 3 } \mathbf { i } + \frac { 1 } { 3 } \mathbf { j } - \frac { 1 } { 3 } \mathbf { k } \right)\)
• C) \(9 \left( \frac { 1 } { 3 } \mathbf { i } + \frac { 1 } { 3 } \mathrm { j } - \frac { 1 } { 3 } \mathbf { k } \right)\)
• D) \(9 \left( - \frac { 1 } { 3 } \mathbf { i } - \frac { 1 } { 3 } \mathbf { j } + \frac { 1 } { 3 } \mathbf { k } \right)\)

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Definitions:

Positivism

A system of thought that regards scientific observation to be the highest form of knowledge.

Scientific Observation

The process of carefully watching and analyzing phenomena in a systematic way to gain empirical knowledge.

Religious Dogma

A system of beliefs, doctrines, or principles set forth by a religious authority as incontrovertibly true.

Exploitation

The act of treating someone unfairly by using their work or ideas and giving them very little in return.