A $2\mathrm{.}0-$m$-$long wire carries a current of $7\mathrm{.}4$ A and is immersed within a uniform magnetic field vec$(B).$ When this wire lies along the $+x$ axis, a magnetic force vec$(F)=(-2\mathrm{.}5$hat$(j))N$ acts on the wire, and when it lies on the $+y$ axis, the force is vec$(F)=(2\mathrm{.}5$hat$(i)-5\mathrm{.}0$hat$(k))N.$

Find the $y-$component of vec$(B).$

Express your answer with the appropriate units.

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Part C

Find the $z-$component of vec$(B).$

Express your answer with the appropriate units.

$B_z=$ Value Units