JEE Advanced 2013 Paper 2 Mathematics Q20

Mathematics

Problem

Match List I with List II and select the correct answer using the code given below the lists. Column I — P: The volume of the parallelepiped determined by

\vec a,\vec b,\vec c

is 2. Find the volume determined by

2(\vec a\times\vec b)

3(\vec b\times\vec c)

and

(\vec c\times\vec a)

.; Q: The volume of the parallelepiped determined by

\vec a,\vec b,\vec c

is 5. Find the volume determined by

3(\vec a+\vec b)

(\vec b+\vec c)

and

2(\vec c+\vec a)

.; R: The area of the triangle with adjacent sides

\vec a,\vec b

is 20. Find the area of the triangle with adjacent sides

2\vec a+3\vec b

and

\vec a-\vec b

.; S: The area of the parallelogram with adjacent sides

\vec a,\vec b

is 30. Find the area of the parallelogram with adjacent sides

\vec a+\vec b

and

\vec a

. Column Ii — 1:

100

; 2:

30

; 3:

24

; 4:

60

Browse the problem library