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 parallelopiped determined by vectors a^{\to},b^{\to} and c^{\to} is 2. Then the volume of the parallelopiped determined by vectors 2(a^{\to} \times b^{\to}),3(b^{\to} \times c^{\to}) and (c^{\to} \times a^{\to}) is 1. 100 Q. Volume of parallelopiped determined by vectors a^{\to} ,b^{\to} and c^{\to} is 5. Then the volume of the parallelopiped determined by vectors 3(a^{\to} + b^{\to}),(b^{\to}+c^{\to}) and 2(c^{\to} + a^{\to}) is 2. 30 R. Area of a triangle with adjacent sides determined by vectors a^{\to} and b^{\to} is 20. Then the area of the triangle with adjacent sides determined by vectors (2a^{\to} + 3b^{\to}) and (a^{\to} - b^{\to}) is 3. 24 S. Area of a parallelogram with adjacent sides determined by vectors a^{\to} and b^{\to} is 30. Then the area of the parallelogram with adjacent sides determined by vectors (a^{\to}+ b^{\to}) and a^{\to} is 4. 60 [JEE Adv 2013 P2]

Correct Answer is : P-3 Q-4 R-1 S-2

Vector Algebra

Section: Mathematics

Question : 23 of 38

Marks: +1, -0

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

List - I

List - II

Volume of parallelopiped determined by vectors

→

and

→

is 2. Then the volume of the parallelopiped determined by vectors 2(

→

),3(

→

) and (

→

) is

100

Volume of parallelopiped determined by vectors

→

and

→

is 5. Then the volume of the parallelopiped determined by vectors 3(

→

),(

→

) and 2(

→

) is

Area of a triangle with adjacent sides determined by vectors

→

and

→

is 20. Then the area of the triangle with adjacent sides determined by vectors (2

→

) and (

→

−

→

) is

Area of a parallelogram with adjacent sides determined by vectors

→

and

→

is 30. Then the area of the parallelogram with adjacent sides determined by vectors (

→

) and

→

[JEE Adv 2013 P2]

P-4 Q-2 R-3 S-1
P-2 Q-3 R-1 S-4
P-3 Q-4 R-1 S-2
P1 Q-4 R-3 S-2

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