Question: If $$ mathbf {a}=left(-2 t, 5 t^{-3),-2 t ight) quad text { and } quad mathbf {b}=(cos (5 t), 0,5 sin (t)) $$ find $frac{d}{dt}(mathbf{a}

 If $$ \mathbf {a}=\left(-2 t, 5 t^{-3),-2 t ight) \quad \text

If $$ \mathbf {a}=\left(-2 t, 5 t^{-3),-2 t ight) \quad \text { and } \quad \mathbf {b}=(\cos (5 t), 0,5 \sin (t)) $$ find $\frac{d}{dt}(\mathbf{a} \cdot \mathbf {b})=$ $\frac{d}{dt}(\mathbf{a} \times \mathbf {b})=$ The syntax for entering a vector is $\langle a, b, c angle$ CS. SD. 160

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