Express the Vector as a Product of Its Length and Direction

question 129

Multiple Choice

Express the vector as a product of its length and direction.
- $$6 i - \frac { 4 } { 3 } j - 4 k$$

• A) \(\frac { 22 } { 3 } ( \mathbf { i } - \mathbf { j } - \mathbf { k } )\)
• B) \(\frac { 22 } { 3 } \left( \frac { 9 } { 11 } \mathbf { i } - \frac { 2 } { 11 } \mathbf { j } - \frac { 6 } { 11 } \mathbf { k } \right)\)
• C) \(\frac { 22 } { 3 } \left( 6 \mathbf { i } - \frac { 4 } { 3 } \mathbf { j } - 4 \mathbf { k } \right)\)
• D) \(\frac { 22 } { 3 } \left( \frac { 9 } { 121 } \mathbf { i } - \frac { 2 } { 121 } \mathbf { j } - \frac { 6 } { 121 } \mathbf { k } \right)\)

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Definitions:

Stipulated Time

A specific period designated in an agreement or contract by which a certain action must be completed or fulfilled.

Market Value

Market value is the estimated price at which an asset or service would trade in a competitive auction setting.

Employment Contract

A formal agreement between an employee and employer outlining job duties, compensation, and terms of employment.

Option Contract

A contract which grants the holder the right, but not the obligation, to buy or sell an asset at a set price on or before a certain date.