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> Consider the plane P in the $x-y-z$ space determined by the equation $x + y + z = 0$.
>  Given the vector $\vec{V} =(2,3,4) $, in default position. Find vectors $\vec{A}$ and $\vec{B}$, such that vector $\vec{A}$ lies on the plane $P$, vector $\vec{B}$ is in the same or opposite direction as normal vector to P, and $\vec{V} = \vec{A} + \vec{B}$
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Im not sure how to do this question. Can someone help me with this?