class 12 maths vector algebra

If $\vec a \cdot \vec a = 0\,\,{\rm{and }}\vec a \cdot \vec b = 0$, then what can be concluded about the vector $\vec b$?

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📘 Vector Algebra NCERT,Page 448,Ex.10.3,Q.No 12 SA

If $\vec a \cdot \vec a = 0\,\,{\rm{and }}\vec a \cdot \vec b = 0$, then what can be concluded about the vector $\vec b$?

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We are given that $\vec a \cdot \vec a = 0$ and $\vec a \cdot \vec b = 0$. These are satisfied when $\vec a = 0$ and $\vec b$ can be any vector.

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