Evaluate and Simplify the Quantity $$\left\langle t , e ^ { t } \right\rangle \cdot \left\langle - e ^ { t } , - t \right\rangle$$

Multiple Choice

Evaluate and simplify the quantity. $$\left\langle t , e ^ { t } \right\rangle \cdot \left\langle - e ^ { t } , - t \right\rangle$$

A) $t ^ { 2 } + e ^ { 2 t }$
B) $2 t e ^ { 2 t }$
C) 0
D) $- 2 t e ^ { t }$