For two vectors a and b Assertion (A): | a × b |^2+( a · b )^2=| a |^2| b |^2 Reason (R): | a × b |=( a · b ) tan θ,(θ ≠ (π)/2)

For two vectors $\displaystyle \overrightarrow{\mathrm{a}}$ and $\displaystyle \overrightarrow{\mathrm{b}}$ Assertion (A) : $\displaystyle |\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{b}}|^{2}+(\overrightarrow{\mathrm{a}} \cdot \overrightarrow{\mathrm{b}})^{2}=|\overrightarrow{\mathrm{a}}|^{2}|\overrightarrow{\mathrm{b}}|^{2}$ Reason (R) : $\displaystyle |\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{b}}|=(\overrightarrow{\mathrm{a}} \cdot \overrightarrow{\mathrm{b}}) \tan \theta,\left(\theta \neq \frac{\pi}{2}\right)$