• # question_answer Let $\vec{a}=2\,\hat{i}+\hat{j}-2\hat{k}$ and $\vec{b}=\hat{i}+\hat{j}.$ If $\overrightarrow{c}$ is a vector such that $\vec{a}.\vec{c}=\left| {\vec{c}} \right|,\left| \vec{c}-\vec{a} \right|=2\sqrt{2}$ and the angle between $\vec{a}\times \vec{b}$ and $\overrightarrow{c}$ is $30{}^\circ ,$ then find value of $\left| \left( \vec{a}\times \vec{b} \right)\times \vec{c} \right|.$

Answer:

1.50

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