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यदि $\vec{a} \vec{b} \vec{c}$ इकाई सदिश हो जिसमें कि $\vec{a}+\vec{b}+\vec{c}=0$ तो $\vec{a} \cdot \vec{b}+\vec{b} \cdot \vec{c}+\vec{c} \cdot \vec{a}$ का मान है :
यदि $\overrightarrow{\mathrm{a}}=2 \overline{\mathrm{i}}-5 \overrightarrow{\mathrm{j}}+\overline{\mathrm{k}}$ और $\overrightarrow{\mathrm{b}}=4 \overline{\mathrm{i}}+2 \overline{\mathrm{j}}+\overline{\mathrm{k}}$ तो $\overrightarrow{\mathrm{a}} \cdot \overline{\mathrm{b}}=$