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

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) $- 3 \sqrt { 2 } + 3 \sqrt { 2 } i$

Correct Answer:

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