Find the Product A) $5 \sqrt { 6 } - \sqrt { 2 } i$

question 336

Multiple Choice

Find the product. Write the product in rectangular form, using exact values.
- $\left[ 7 \left( \cos 120 ^ { \circ } + \mathrm { i } \sin 120 ^ { \circ } \right) \right] \left[ 2 \left( \cos 90 ^ { \circ } + \mathrm { i } \sin 90 ^ { \circ } \right) \right]$

• A) \(5 \sqrt { 6 } - \sqrt { 2 } i\)
• B) \(7 \sqrt { 3 } - 28 \mathrm { i }\)
• C) \(14 - 14 \sqrt { 3 } i\)
• D) \(- 7 \sqrt { 3 } - 7 i\)

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Definitions:

Altruism

Selfless concern for the well-being of others, where individuals may act to benefit others even at a cost to themselves.

Kin Selection Theory

A theory in evolutionary biology that predicts organisms will behave altruistically towards their relatives to increase the chances of their genetic traits being passed on to future generations.

Cooperative Hunting

The action of different individuals or species working together to hunt prey, increasing their success rate compared to solo efforts.

Altruism

Behavior of an individual that benefits another at its own cost; in biology, it is often discussed in the context of evolutionary theory and social animals.