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Three vectors \(\Vect{u}, \Vect{v}\), and \(\Vect{w}\) (with \(\Vect{u}, \Vect{v}\) non-collinear) are coplanar if and only if:
They have the same magnitude.
There exist real numbers \(x\) and \(y\) such that \(\Vect{w} = x\Vect{u} + y\Vect{v}\).
The vectors \(\Vect{u}\) and \(\Vect{v}\) are orthogonal.
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