$\text { Find an expression for } \frac { d } { d t } [ x ( t ) . ( y ( t ) \times z ( t ) ) ] \text {. }$

Name: $\text { Find an expression for } \frac { d } { d t } [ x ( t ) . ( y ( t ) \times z ( t ) ) ] \text {. }$
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Question

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The Answer is

\frac { d x ( t ) } { d t } \cdot ( y ( t ) imes z ( t ) ) - \frac { d y ( t ) } { d t } ( x ( t ) imes z ( t ) ) + \frac { d z ( t ) } { d t } ( x ( t ) imes y ( t ) )

Find an expression for ddt[x(t).(y(t)×z(t))]. \text { Find an expression for } \frac { d } { d t } [ x ( t ) . ( y ( t ) \times z ( t ) ) ] \text {. } Find an expression for dtd​[x(t).(y(t)×z(t))].

$\text { Find an expression for } \frac { d } { d t } [ x ( t ) . ( y ( t ) \times z ( t ) ) ] \text {. }$