Vector Projection Unit Vector (Jee Mains)

Vector Algebra and Components

Hard

Vector Projection Unit Vector

If $\vec a$ is nonzero vector such that its projections on the vectors $2\hat i - \hat j + 2\hat k$ , $\hat i + 2\hat j - 2\hat k$ and $\hat k$ are equal, then a unit vector along $\vec a$ is :

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