Let $u$ and $v$ be two vectors in a plane. Then any vector $w$ in the plane can be written as $w = au + bv$ for some scalars $a$ and $b$ if and only if
- ANone of $u$ and $v$ is a scalar multiple of the other
- BNone of $|u|$ and $|v|$ is a scalar multiple of the other
- C$u$ and $v$ have different directions
- D$u$ and $v$ are perpendicular to each other
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