Unit vector perpendicular to two vectors (Jee M…

Vector Algebra and Components

Medium

Unit vector perpendicular to two vectors

Let $\vec a = \hat i + 2\hat j + \hat k$ and $\vec b = 2\hat i + \hat j - \hat k$ . Let $\hat c$ be a unit vector in the plane of the vectors $\vec a$ and $\vec b$ and be perpendicular to $\vec a$ . Then such a vector $\hat c$ is :

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