Match List I with List II and select the correct answer using the code given below the lists : I...
Match List I with List II and select the correct answer using the code given below the lists :
I.ist - I
P. Volume of parallelopiped determined by vectors
|JEE.Advanced-2013| L.ist-II
\( P \)
\( \vec{a}, \vec{b} \) and \( \vec{c} \) is 2 . Then the volume of the parallelepiped
1. 100
W determined by vectors \( 2(\vec{a} \times \vec{b}), 3(\vec{b} \times \vec{c}) \) and \( (\vec{c} \times \vec{a}) \) is
Q. Volume of parallelepiped determined by vectors \( \overrightarrow{\mathrm{a}}, \overrightarrow{\mathrm{b}} \)
2. 30 and \( \overrightarrow{\mathrm{c}} \) is 5 . Then the volume of the parallelepiped determined by vectors \( 3(\vec{a}+\vec{b}),(\vec{b}+\vec{c}) \) and \( 2(\vec{c}+\vec{a}) \) is
R. Area of a triangle with adjacent sides determined by
3. 24 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
S. Area of a paralelogram with adjacent sides determined by
4. 60 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
Codes:
\( \begin{array}{lllll} & \mathbf{P} & \mathbf{Q} & \mathbf{R} & \mathbf{S} \\ \text { (B) } & 2 & 3 & 1 & 4 \\ \text { (D) } & 1 & 4 & 3 & 2\end{array} \)
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