Question

Match List-I with List-II and select the correct answer using the code given below the lists :

| List-I | | List-II | |
| --- | --- | --- | --- |
| P. | Volume of parallelepiped determined by vectors $\vec{a}, \vec{b}$ and $\vec{c}$ is 2. Then the volume of the parallelepiped determined by vectors $2(\vec{a} 	imes \vec{b}), 3(\vec{b} 	imes \vec{c})$ and $(\vec{c} 	imes \vec{a})$ is | 1. | 100 |
| Q. | Volume of parallelepiped determined by vectors $\vec{a}, \vec{b}$ and $\vec{c}$ 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 | 2. | 30 |
| R. | 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 | 3. | 24 |
| S. | 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 | 4. | 60 |

Accepted Answer

(C) P-3, Q-4, R-1, S-2

Answer

(A) P-4, Q-2, R-3, S-1

Answer

(B) P-2, Q-3, R-1, S-4

Answer

(D) P-1, Q-4, R-3, S-2

JEE Advanced · 2013 · 02 Jun 2013 · Paper 2 · Vector Algebra

Solution

More JEE Advanced questions on Vector Algebra

List-I		List-II
P.	Volume of parallelepiped determined by vectors $a, b$ and $c$ is 2. Then the volume of the parallelepiped determined by vectors $2 (a \times b), 3 (b \times c)$ and $(c \times a)$ is	1.	100
Q.	Volume of parallelepiped determined by vectors $a, b$ and $c$ is 5. Then the volume of the parallelepiped determined by vectors $3 (a + b), (b + c)$ and $2 (c + a)$ is	2.	30
R.	Area of a triangle with adjacent sides determined by vectors $a$ and $b$ is 20. Then the area of the triangle with adjacent sides determined by vectors $(2 a + 3 b)$ and $(a - b)$ is	3.	24
S.	Area of a parallelogram with adjacent sides determined by vectors $a$ and $b$ is 30. Then the area of the parallelogram with adjacent sides determined by vectors $(a + b)$ and $a$ is	4.	60