Find the Product A) $- 6 \sqrt { 2 } - 6 \sqrt { 2 } i$

question 398

Multiple Choice

Find the product. Write the product in rectangular form, using exact values.
- $\left[ 3 \left( \cos 45 ^ { \circ } + i \sin 45 ^ { \circ } \right) \right] \left[ 2 \left( \cos 90 ^ { \circ } + i \sin 90 ^ { \circ } \right) \right]$

• A) \(- 6 \sqrt { 2 } - 6 \sqrt { 2 } i\)
• B) \(3 \sqrt { 2 } - 12 \sqrt { 2 } \mathrm { i }\)
• C) \(2 \sqrt { 6 } - \sqrt { 2 } \mathrm { i }\)
• D) \(- 3 \sqrt { 2 } + 3 \sqrt { 2 } i\)

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Definitions:

Deficient Fluid Volume

A medical condition characterized by a lower than normal amount of body fluids, often leading to dehydration.

Electrolyte Balance

The maintenance of the correct concentration and distribution of electrolytes within the body's fluids, essential for normal cell function.

Cognitive Orientation

The mental process involving perception, memory, judgment, and reasoning, as related to one's awareness and interpretation of the world.

Interstitial

Relating to spaces or interstices within a tissue or organ, often referred to in a medical or biological context.