Find the Vector $\vec { u }$ In 3-Space Which Satisfies Both of the Following Conditions

Essay

Find the vector $\vec { u }$ in 3-space which satisfies both of the following conditions.
(a) $\vec { u } \cdot \vec { k } = 5$ (b) $\vec { u } \times \vec { k } = 5 \vec { i } - 2 \vec { j }$