Find the Vector $\mathbf { v }$ That Has a Magnitude of 6 and Is in the Magnitude

question 7

Multiple Choice

Find the vector $\mathbf { v }$ that has a magnitude of 6 and is in the same direction as $\mathbf { u }$ , where $\mathbf { u } = \langle - 6 , - 5 \rangle$ .

• A) \(\mathbf { v } = \left\langle \frac { - 36 } { \sqrt { 61 } } , \frac { - 30 } { \sqrt { 61 } } \right\rangle\)
• B) \(\mathbf { v } = \left\langle \frac { - 6 } { \sqrt { 61 } } , \frac { - 5 } { \sqrt { 61 } } \right\rangle\)
• C) \(\mathbf { v } = \left\langle \frac { - 1 } { \sqrt { 61 } } , \frac { - 6 } { \sqrt { 61 } } \right\rangle\)
• D) \(\mathbf { v } = \left\langle \frac { - 1 } { \sqrt { 61 } } , \frac { 1 } { \sqrt { 61 } } \right\rangle\)
• E) \(\quad \mathbf { v } = \left\langle \frac { 5 } { \sqrt { 61 } } , \frac { 6 } { \sqrt { 61 } } \right\rangle\)

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Definitions:

Somatic Symptom Disorder

A mental health condition characterized by an individual experiencing significant physical symptoms that may not have a diagnosable medical explanation, causing major distress and problems functioning.

Relaxation

Techniques or practices that reduce stress and tension in the body and mind, promoting a state of calm.

Systematic Desensitization

A therapeutic technique used to reduce phobias and anxiety by gradually exposing the person to the feared object or situation in a controlled manner.

Somatic System Disorders

Conditions in which an individual experiences physical symptoms that have a psychological origin, often without a medical explanation.