Can I expand $\langle \langle a,b\rangle b,c\rangle c$ to $\langle a ,b \rangle \langle b,c\rangle c$. Is so, What is the formal method to do that expansion?
2026-03-29 16:01:51.1774800111
Expanding $\langle \langle a,b \rangle b,c \rangle c$
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The inner product is linear in the first coordinate, it satisfies $$\langle \alpha b,c\rangle = \alpha \langle b,c\rangle$$ for any scalar $\alpha$. In the present example, $\alpha=\langle a,b\rangle$.