Find the Unit Vector Having the Same Direction as V $$v = - 12 i + 5 j$$

question 248

Multiple Choice

Find the unit vector having the same direction as v.
- $$v = - 12 i + 5 j$$

• A) \(\mathbf { u } = - \frac { 12 } { 13 } \mathbf { i } + \frac { 5 } { 13 } \mathrm { j }\)
• B) \(\mathbf { u } = - \frac { 13 } { 12 } \mathbf { i } + \frac { 13 } { 5 } \mathbf { j }\)
• C) \(u = - \frac { 5 } { 13 } \mathrm { i } + \frac { 12 } { 13 } \mathrm { j }\)
• D) \(\mathbf { u } = - 156 \mathbf { i } + 65 \mathrm { j }\)

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Definitions:

Tautology

A redundant or repetitive statement in which the same thing is said twice in different words.

Main Component

A primary or essential part of a larger whole or system.

Biconditional

A logical relation between statements where both are either simultaneously true or simultaneously false.

Tautology

A statement that is true by virtue of its logical form alone, and is redundant or self-evident.