Evaluate and Simplify the Quantity $$\langle t , 7 t , \cos ( t ) \rangle \times \left\langle 1 , t , t ^ { 2 } \right\rangle$$

Multiple Choice

Evaluate and simplify the quantity. $$\langle t , 7 t , \cos ( t ) \rangle \times \left\langle 1 , t , t ^ { 2 } \right\rangle$$

A) $\left\langle t \cos ( t ) - 7 t ^ { 2 } , t ^ { 3 } - \cos ( t ) , 7 t - t ^ { 3 } \right\rangle$
B) $\left\langle 7 t ^ { 3 } - t \cos ( t ) , \cos ( t ) - t ^ { 3 } , t ^ { 2 } - 7 t \right\rangle$
C) $\left\langle t , 7 t ^ { 3 } , t ^ { 2 } \cos ( t ) \right\rangle$
D) $t + 7 t ^ { 3 } + t ^ { 2 } \cos ( t )$