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The vector product of vectors $\vec{A}$ and $\vec{B}$ has magnitude $16.0 \mathrm{~m}^{2}$ and is in the $+z$ -direction. If vector $\vec{A}$ has magnitude $8.0 \mathrm{~m}$ and is in the $-x$ -direction, what are the magnitude and direction of vector $\overrightarrow{\boldsymbol{B}}$ if it has no $x$ -component?