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For positive non-zero real variables $p$ and $q$, if\[\log \left(p^{2}+q^{2}\right)=\log p+\log q+2 \log 3,\]then, the value of $\frac{p^{4}+q^{4}}{p^{2} q^{2}}$ is$79$$8...
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Let $\overrightarrow{O R}$ be the vector that is perpendicular to the vectors $\overrightarrow{O P}=2 \hat{\imath}-3 \hat{\jmath}+\hat{k}$ and $\overrightarrow{O Q}=-2 \h...
1 1 answer
If $\vec{v}=\left(\begin{array}{l}2 \\ 2 \\ 2\end{array}\right)$ is an eigenvector of the matrix $\left(\begin{array}{lll}1 & 2 & 3 \\ 1 & 2 & 3 \\ 1 & 2 & 3\end{array}\r...