Duration: 6:19

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Question Match of the following lists:
\begin{tabular}{|c|c|c|c|}
\hline & List-I & & \begin{tabular}{|l|}
List-II \\
\end{tabular} \\
\hline (A) & \begin{tabular}{l}
Volume of parallelepiped \\
determined by vectors, \( \vec{a}, \vec{b} \) \\
and \( \vec{c} \) is 2 . Then the volume of \\
the parallele piped determined \\
by vectors \( 2(\vec{a} \times \vec{b}), 3(\vec{b} \times \vec{c}) \) \\
and \( (\vec{c} \times \vec{a}) \) is
\end{tabular} & (P) & 100 \\
\hline (B) & \begin{tabular}{l}
Volume of parallelepiped \\
determined by vectors, \( \vec{a}, \vec{b} \) \\
and \( \vec{c} \) is 5 . Then the volume of \\
the parallele-piped determined \\
by vectors \( 3(\vec{a}+\vec{b}),(\vec{b}+\vec{c}) \) \\
and \( 2(\vec{c}+\vec{a}) \) is.
\end{tabular} & (Q) & 30 \\
\hline (C) & \begin{tabular}{l}
Area of a triangle with adjacent \\
sides determined by vectors \( \vec{a} \) \\
and \( \vec{b} \) is 20 . Then the area of \\
the triangle with adjacent sides \\
determined by vectors \\
\( (2 \vec{a}+3 \vec{b}) \) and \( (\vec{a}-\vec{b}) \) is.
\end{tabular} & (R) & 24 \\
\hline (D) & \begin{tabular}{l}
Area of a parallelogram with \\
adjacent sides determined by \\
vectors \( \vec{a} \) and \( \vec{b} \) is 30 . Then \\
the area of the parallelogram \\
with adjacent sides determined \\
by vectors \( (\vec{a}+\vec{b}) \) and \( \vec{a} \) is.
\end{tabular} & (S) & 60 \\
\hline
\end{tabular}
\( \mathrm{P} \)
W
Codes:
\begin{tabular}{lllll}
& A & B & C & D \\
(1) & \( \mathrm{R} \) & \( \mathrm{S} \) & \( \mathrm{P} \) & \( \mathrm{Q} \) \\
(2) & \( \mathrm{P} \) & \( \mathrm{Q} \) & \( \mathrm{R} \) & \( \mathrm{S} \) \\
(3) & \( \mathrm{R} \) & \( \mathrm{P} \) & \( \mathrm{Q} \) & \( \mathrm{S} \) \\
(4) & \( \mathrm{R} \) & \( \mathrm{S} \) & \( \mathrm{Q} \) & \( \mathrm{P} \)
\end{tabular}


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