Let$\mathbf { u } ( t ) = 2 t \mathbf { i } + \sin t \mathbf { j } - \cos t \mathbf { k } \text { and } \mathbf { v } ( t ) = \mathbf { i } + t ^ { 2 } \mathbf { j } - t \mathbf { k }$

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The Answer of Let$\mathbf { u } ( t ) = 2 t \mathbf { i } + \sin t \mathbf { j } - \cos t \mathbf { k } \text { and } \mathbf { v } ( t ) = \mathbf { i } + t ^ { 2 } \mathbf { j } - t \mathbf { k }$

Let Find $\frac { d } { d t } [ \mathbf { u } ( t ) \times \mathbf { v } ( t ) ]$

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Let Find ddt[u(t)×v(t)]\frac { d } { d t } [ \mathbf { u } ( t ) \times \mathbf { v } ( t ) ]dtd​[u(t)×v(t)]

Definitions:

Let Find $\frac { d } { d t } [ \mathbf { u } ( t ) \times \mathbf { v } ( t ) ]$