Physics - Vectors Question with Solution | TestHub

For three vectors $\vec{A}=(-x\hat{i}-6\hat{j}-2\hat{k}),\vec{B}=(-\hat{i}+4\hat{j}+3\hat{k})$ and $\vec{C}=(-8\hat{i}-\hat{j}+3\hat{k})$, if $\vec{A}\cdot (\vec{B}\times \vec{C})=0$, then value of $x$ is _________