Find a Unit Vector in the Direction of U $\mathbf { u } = 10 \mathbf { i } + 5 \mathbf { j } - \mathbf { k }$

question 200

Multiple Choice

Find a unit vector in the direction of u $\mathbf { u } = 10 \mathbf { i } + 5 \mathbf { j } - \mathbf { k }$

• A) \(\frac { u } { \| \mathbf { u } \| } =\) \(\frac { \sqrt { 126 } } { 126 } ( 10 i + 5 j - k )\)
• B) \(\frac { u } { \| \mathbf { u } \| } =\) \(\frac { 126 } { \sqrt { 126 } } ( 10 i + 5 j - k )\)
• C) \(\frac { u } { \| \mathbf { u } \| } =\) \(- \frac { \sqrt { 126 } } { 126 } ( 10 i + 5 j - k )\)
• D) \(\frac { u } { \| \mathbf { u } \| } =\) \(\frac { 1 } { 126 } ( 10 i + 5 j - k )\)
• E) \(\frac { u } { \| \mathbf { u } \| } =\) \(\sqrt { 126 } ( 10 i + 5 j + k )\)

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Definitions:

Classical Conditioning

A learning process that occurs through associations between an environmental stimulus and a naturally occurring stimulus, leading to learned responses.

Operant Conditioning

A learning process through which the strength of a behavior is modified by reinforcement or punishment, introduced by B.F. Skinner.

Observational Learning

The process of learning behaviors by watching the actions of others, and the outcomes of those actions.

Instrumental Conditioning

A learning process through which the strength of a behavior is modified by reinforcement or punishment, also known as operant conditioning.