If a a = 0 , , a b = 0 , then what can be concluded about the vector b ?

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

Vector Algebra — Class 12 Maths Solution

ncert exercise SA NCERT,Page 448,Ex.10.3,Q.No 12

Question

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

Step-by-step Solution

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.

NCERT & Exemplar solution for CBSE Class 12 Mathematics, Vector Algebra. Curated by Sachin Sharma. Free for all students.