(Solved): (1 point) The figure shows a rectangular box in three-dimensional space that contains several vecto ...

(1 point) The figure shows a rectangular box in three-dimensional space that contains several vectors. The vector \( c \) is in the xz-plane, and the vector \( e \) is in the xy-plane.) Are the following statements true or false? 1. \( \vec{a}=-\vec{b} \) 2. \( \vec{a}=\vec{d} \) 3. \( \vec{g}=\vec{f}+\vec{a} \) 4. \( \vec{d}=\vec{g}-\vec{c} \) 5. \( \vec{e}=\vec{a}-\vec{b} \) 6. \( \vec{c}=\vec{f} \)