Find the Component Form of Vector $\mathbf { u } + \mathbf { v } \text { given } \| \mathbf { u } \| = 2 \text { and } \| \mathbf { v } \| = 3 \text { and the angles }$

question 85

Multiple Choice

Find the component form of vector $\mathbf { u } + \mathbf { v } \text { given } \| \mathbf { u } \| = 2 \text { and } \| \mathbf { v } \| = 3 \text { and the angles }$ that $\mathbf { u }$ and $\mathbf { v }$ make with the positive $x$ -axis are $\theta _ { \mathbf { u } } = 0 ^ { \circ }$ and $\theta _ { \mathbf { v } } = 45 ^ { \circ }$ .

• A) \(\left( \frac { 4 + 3 \sqrt { 3 } } { 2 } , \frac { 9 \sqrt { 2 } } { 2 } \right)\)
• B)\(\left( \frac { 2 + 3 \sqrt { 2 } } { 2 } , \frac { 9 \sqrt { 2 } } { 2 } \right)\)
• C)\(\left\{ \frac { 22 + 9 \sqrt { 2 } } { 2 } , \frac { 6 \sqrt { 2 } } { 2 } \right\}\)
• D)\(\left( \frac { 4 + 3 \sqrt { 2 } } { 2 } , \frac { 3 \sqrt { 2 } } { 2 } \right)\)
• E)\(\left( \frac { 2 + 9 \sqrt { 2 } } { 2 } , \frac { 9 \sqrt { 2 } } { 2 } \right)\)

---

Definitions:

Associative Strength

The strength of the linkage or association between two elements, such as between a stimulus and a response, in conditioning.

Training Trial

A practice session or experiment aimed at enhancing an individual's skill or knowledge in a specific area.

CS Preexposure

The process by which a conditioned stimulus is presented to a subject without the unconditioned stimulus, affecting subsequent conditioning.

Cue Deflation

The process where a cue that previously signaled the availability of a reinforcer loses its value or effectiveness after the reinforcer is decreased or removed.