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If `vec x and vecy` are unit vectors and `|vecz| = 2/sqrt7` such that `vecz + vecz xx vecx = vecy` then find the angle `theta` between `vecx and vecz`

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To solve the problem, we need to find the angle \( \theta \) between the unit vectors \( \vec{x} \) and \( \vec{z} \) given the equation: \[ \vec{z} + \vec{z} \times \vec{x} = \vec{y} \] where \( \vec{y} \) is a unit vector and \( |\vec{z}| = \frac{2}{\sqrt{7}} \). ...
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