[Solved] (a) What is the area of the parallelogram in R^4 made by two vectors [l1 , 2 , 2] and [c2 , -1 , -3] (b) Let det [llla b c , d e f , g h i]=6.

Question: (a) What is the area of the parallelogram in $\mathbb{R}^{4}$ made by two vectors

$\left[\begin{array}{l}1 \\ 2 \\ 2\end{array}\right]$ and $\left[\begin{array}{c}2 \\ -1 \\ -3\end{array}\right]$

(b) Let det $\left[\begin{array}{lll}a & b & c \\ d & e & f \\ g & h & i\end{array}\right]=6$. Find det $\left[\begin{array}{ccc}a & b & c \\ g-3 d & h-3 e & i-3 f \\ 2 d & 2 e & 2 f\end{array}\right]$

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[Solved] (a) What is the area of the parallelogram in R^4 made by two vectors [l1 , 2 , 2] and [c2 , -1 , -3] (b) Let det [llla b c , d e f , g h i]=6.

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