• # question_answer Let $\left| {\vec{a}} \right|=1,\,\left| {\vec{b}} \right|=2,\,\,\left| {\vec{c}} \right|=3$ and $\vec{a}\bot \left( \vec{b}+\vec{c} \right),$  $\,\vec{b}\bot \left( \vec{c}+\vec{a} \right)$ and $\vec{c}\bot (\vec{a}+\overrightarrow{b})$. If the value of $\left| \vec{a}+\vec{b}+\vec{c} \right|$ is $\sqrt{k}$ then find k.

Answer:

14.00

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