$\text { Find } \mathbf { r } ( t ) \cdot \mathbf { u } ( t ) \text { given the functions below. }$

question 28

Multiple Choice

$\text { Find } \mathbf { r } ( t ) \cdot \mathbf { u } ( t ) \text { given the functions below. }$ $\mathbf { r } ( t ) = 3 t \mathbf { i } + \frac { t } { 5 } \mathbf { j } + 2 t ^ { 2 } \mathbf { k } , \mathbf { u } ( t ) = 6 t \mathbf { i } + 6 \mathbf { j } - 5 t \mathbf { k }$

• A) \(18 t ^ { 2 } + \frac { 6 } { 5 } - 10 t ^ { 3 }\)
• B) \(- 18 t ^ { 2 } + \frac { 6 } { 5 } t + 10 t ^ { 3 }\)
• C) \(18 t ^ { 2 } + \frac { 6 } { 5 } t + 10 t ^ { 3 }\)
• D) \(18 t + \frac { 6 } { 5 } t - 10 t ^ { 2 }\)
• E) \(18 t ^ { 2 } + \frac { 6 } { 5 } t - 10 t ^ { 3 }\)

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