A Particle Moves in the Yz-Plane Along the Curve Represented $\mathbf { r } ( t ) = ( 5 \cos t ) \mathbf { j } + ( 7 \sin t ) \mathbf { k }$

Multiple Choice

A particle moves in the yz-plane along the curve represented by the vector-valued function $\mathbf { r } ( t ) = ( 5 \cos t ) \mathbf { j } + ( 7 \sin t ) \mathbf { k }$ . Find the maximum value of $\left\| \mathbf { r } ^ { t } \right\|$

A) 4
B) 3
C) 7
D) 8
E) 5