Physics - Vectors Question with Solution | TestHub

Consider the two vectors : $\overrightarrow{\mathrm{A}}=2\hat{\mathrm{i}}+2\hat{\mathrm{j}}+2\hat{\mathrm{k}}$ and $\overrightarrow{\mathrm{B}}=\hat{\mathrm{i}}+\hat{\mathrm{j}}+2\hat{\mathrm{k}}$. Find the value of the scalar $\theta$ such that the vector $\vec{A}-\theta \vec{B}$ is perpendicular to $\vec{A}$.